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13320302100 = 2235273129449
BaseRepresentation
bin11000110011111001…
…11010111000010100
31021101022111110100020
430121330322320110
5204234444131400
610041432145140
7651042462000
oct143174727024
937338443306
1013320302100
115715a66136
1226b8b381b0
13134385a581
14905105700
1552e6212a0
hex319f3ae14

13320302100 has 144 divisors (see below), whose sum is σ = 44945040000. Its totient is φ = 3044616960.

The previous prime is 13320302057. The next prime is 13320302141. The reversal of 13320302100 is 120302331.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13320302100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38176 + ... + 167624.

Almost surely, 213320302100 is an apocalyptic number.

13320302100 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 13320302100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22472520000).

13320302100 is an abundant number, since it is smaller than the sum of its proper divisors (31624737900).

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

13320302100 is a wasteful number, since it uses less digits than its factorization.

13320302100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129487 (or 129466 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13320302100 its reverse (120302331), we get a palindrome (13440604431).

The spelling of 13320302100 in words is "thirteen billion, three hundred twenty million, three hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 343 350 420 490 525 588 686 700 735 980 1029 1050 1225 1372 1470 1715 2058 2100 2450 2940 3430 3675 4116 4900 5145 6860 7350 8575 10290 14700 17150 20580 25725 34300 51450 102900 129449 258898 388347 517796 647245 776694 906143 1294490 1553388 1812286 1941735 2588980 2718429 3236225 3624572 3883470 4530715 5436858 6343001 6472450 7766940 9061430 9708675 10873716 12686002 12944900 13592145 18122860 19029003 19417350 22653575 25372004 27184290 31715005 38058006 38834700 44401007 45307150 54368580 63430010 67960725 76116012 88802014 90614300 95145015 126860020 133203021 135921450 158575025 177604028 190290030 222005035 266406042 271842900 317150050 380580060 444010070 475725075 532812084 634300100 666015105 888020140 951450150 1110025175 1332030210 1902900300 2220050350 2664060420 3330075525 4440100700 6660151050 13320302100