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21131032120 = 235112910915193
BaseRepresentation
bin10011101011100000…
…011111011000111000
32000112122202122122021
4103223200133120320
5321234021011440
613412451204224
71345434544432
oct235340373070
960478678567
1021131032120
118a63a0a210
1241188a6674
131cb9b02303
1410465c1652
1583a1d184a
hex4eb81f638

21131032120 has 128 divisors (see below), whose sum is σ = 54151416000. Its totient is φ = 7350497280.

The previous prime is 21131032073. The next prime is 21131032127. The reversal of 21131032120 is 2123013112.

It is a junction number, because it is equal to n+sod(n) for n = 21131032094 and 21131032103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21131032127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1383244 + ... + 1398436.

Almost surely, 221131032120 is an apocalyptic number.

21131032120 is a gapful number since it is divisible by the number (20) 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 21131032120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075708000).

21131032120 is an abundant number, since it is smaller than the sum of its proper divisors (33020383880).

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

21131032120 is a wasteful number, since it uses less digits than its factorization.

21131032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15353 (or 15349 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 21131032120 its reverse (2123013112), we get a palindrome (23254045232).

The spelling of 21131032120 in words is "twenty-one billion, one hundred thirty-one million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 109 110 116 145 218 220 232 290 319 436 440 545 580 638 872 1090 1160 1199 1276 1595 2180 2398 2552 3161 3190 4360 4796 5995 6322 6380 9592 11990 12644 12760 15193 15805 23980 25288 30386 31610 34771 47960 60772 63220 69542 75965 121544 126440 139084 151930 167123 173855 278168 303860 334246 347710 440597 607720 668492 695420 835615 881194 1336984 1390840 1656037 1671230 1762388 2202985 3312074 3342460 3524776 4405970 4846567 6624148 6684920 8280185 8811940 9693134 13248296 16560370 17623880 18216407 19386268 24232835 33120740 36432814 38772536 48025073 48465670 66241480 72865628 91082035 96050146 96931340 145731256 182164070 192100292 193862680 240125365 364328140 384200584 480250730 528275803 728656280 960501460 1056551606 1921002920 2113103212 2641379015 4226206424 5282758030 10565516060 21131032120