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132100322200020 = 2232516314933015671
BaseRepresentation
bin11110000010010100000000…
…110001111000100111010100
3122022201200000120202221022200
4132002110000301320213110
5114303312424440400040
61144542014503524500
736552635062635636
oct3602240061704724
9568650016687280
10132100322200020
1139100483040819
1212995b16759730
1358930122ca695
1424899927c0a56
151041374c07630
hex782500c789d4

132100322200020 has 144 divisors (see below), whose sum is σ = 403432788350592. Its totient is φ = 34987176080640.

The previous prime is 132100322200003. The next prime is 132100322200051. The reversal of 132100322200020 is 20002223001231.

132100322200020 is a `hidden beast` number, since 1 + 321 + 0 + 0 + 322 + 2 + 0 + 0 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132100322199966 and 132100322200002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42296785 + ... + 45312455.

It is an arithmetic number, because the mean of its divisors is an integer number (2801616585768).

Almost surely, 2132100322200020 is an apocalyptic number.

132100322200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132100322200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201716394175296).

132100322200020 is an abundant number, since it is smaller than the sum of its proper divisors (271332466150572).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132100322200020 is a wasteful number, since it uses less digits than its factorization.

132100322200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017342 (or 3017337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 132100322200020 its reverse (20002223001231), we get a palindrome (152102545201251).

The spelling of 132100322200020 in words is "one hundred thirty-two trillion, one hundred billion, three hundred twenty-two million, two hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 163 180 326 489 652 815 978 1467 1493 1630 1956 2445 2934 2986 3260 4479 4890 5868 5972 7335 7465 8958 9780 13437 14670 14930 17916 22395 26874 29340 29860 44790 53748 67185 89580 134370 243359 268740 486718 730077 973436 1216795 1460154 2190231 2433590 2920308 3015671 3650385 4380462 4867180 6031342 7300770 8760924 9047013 10951155 12062684 14601540 15078355 18094026 21902310 27141039 30156710 36188052 43804620 45235065 54282078 60313420 90470130 108564156 135705195 180940260 271410390 491554373 542820780 983108746 1474663119 1966217492 2457771865 2949326238 4423989357 4502396803 4915543730 5898652476 7373315595 8847978714 9004793606 9831087460 13507190409 14746631190 17695957428 18009587212 22119946785 22511984015 27014380818 29493262380 40521571227 44239893570 45023968030 54028761636 67535952045 81043142454 88479787140 90047936060 135071904090 162086284908 202607856135 270143808180 405215712270 733890678889 810431424540 1467781357778 2201672036667 2935562715556 3669453394445 4403344073334 6605016110001 7338906788890 8806688146668 11008360183335 13210032220002 14677813577780 22016720366670 26420064440004 33025080550005 44033440733340 66050161100010 132100322200020