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1010200123332 = 2232374317998533
BaseRepresentation
bin11101011001101001001…
…11101001011111000100
310120120111120202101012200
432230310213221133010
5113022342212421312
62052025102314500
7132661462240641
oct16546447513704
93516446671180
101010200123332
1135a4726a7594
12143949b88a30
137435258448a
1436c72dc0dc8
151b426ea50dc
hexeb349e97c4

1010200123332 has 144 divisors (see below), whose sum is σ = 2698586130240. Its totient is φ = 318222100224.

The previous prime is 1010200123297. The next prime is 1010200123333. The reversal of 1010200123332 is 2333210020101.

1010200123332 is a `hidden beast` number, since 1 + 0 + 10 + 200 + 123 + 332 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1010200123333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10203138 + ... + 10301670.

It is an arithmetic number, because the mean of its divisors is an integer number (18740181460).

Almost surely, 21010200123332 is an apocalyptic number.

1010200123332 is a gapful number since it is divisible by the number (12) 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 1010200123332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349293065120).

1010200123332 is an abundant number, since it is smaller than the sum of its proper divisors (1688386006908).

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

1010200123332 is a wasteful number, since it uses less digits than its factorization.

1010200123332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98802 (or 98797 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1010200123332 its reverse (2333210020101), we get a palindrome (3343410143433).

The spelling of 1010200123332 in words is "one trillion, ten billion, two hundred million, one hundred twenty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 179 222 258 333 358 387 444 516 537 666 716 774 1074 1332 1548 1591 1611 2148 3182 3222 4773 6364 6444 6623 7697 9546 13246 14319 15394 19092 19869 23091 26492 28638 30788 39738 46182 57276 59607 69273 79476 92364 98533 119214 138546 197066 238428 277092 284789 295599 394132 569578 591198 854367 886797 1139156 1182396 1708734 1773594 2563101 3417468 3547188 3645721 4236919 5126202 7291442 8473838 10252404 10937163 12710757 14582884 16947676 17637407 21874326 25421514 32811489 35274814 38132271 43748652 50843028 52912221 65622978 70549628 76264542 105824442 131245956 152529084 156766003 158736663 211648884 313532006 317473326 470298009 627064012 634946652 652584059 758408501 940596018 1305168118 1410894027 1516817002 1881192036 1957752177 2275225503 2610336236 2821788054 3033634004 3915504354 4550451006 5643576108 5873256531 6825676509 7831008708 9100902012 11746513062 13651353018 23493026124 27302706036 28061114537 56122229074 84183343611 112244458148 168366687222 252550030833 336733374444 505100061666 1010200123332