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21130121231032 = 231114910627151643
BaseRepresentation
bin1001100110111101111010…
…10111101011101010111000
32202211000112110221100110211
410303132331113223222320
510232143442013343112
6112535013234120504
74310413050004342
oct463367527535270
982730473840424
1021130121231032
1168072636347a0
1224531aaa20134
13ba373c5bc428
145309bbcca292
15269999e0b0a7
hex1337bd5ebab8

21130121231032 has 64 divisors (see below), whose sum is σ = 43515155664000. Its totient is φ = 9539179520640.

The previous prime is 21130121231017. The next prime is 21130121231057. The reversal of 21130121231032 is 23013212103112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 21130121230994 and 21130121231012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139265403 + ... + 139417045.

It is an arithmetic number, because the mean of its divisors is an integer number (679924307250).

Almost surely, 221130121231032 is an apocalyptic number.

21130121231032 is a gapful number since it is divisible by the number (22) 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 21130121231032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21757577832000).

21130121231032 is an abundant number, since it is smaller than the sum of its proper divisors (22385034432968).

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

21130121231032 is a wasteful number, since it uses less digits than its factorization.

21130121231032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162436 (or 162432 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 21130121231032 its reverse (23013212103112), we get a palindrome (44143333334144).

The spelling of 21130121231032 in words is "twenty-one trillion, one hundred thirty billion, one hundred twenty-one million, two hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 149 298 596 1192 1639 3278 6556 10627 13112 21254 42508 85016 116897 151643 233794 303286 467588 606572 935176 1213144 1583423 1668073 3166846 3336146 6333692 6672292 12667384 13344584 17417653 22594807 34835306 45189614 69670612 90379228 139341224 180758456 248542877 497085754 994171508 1611510161 1988343016 3223020322 6446040644 12892081288 17726611771 35453223542 70906447084 141812894168 240115013989 480230027978 960460055956 1920920111912 2641265153879 5282530307758 10565060615516 21130121231032