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21150253112120 = 23511172139197127
BaseRepresentation
bin1001100111100011011010…
…10100101101101100111000
32202212221111111121212120022
410303301231110231230320
510233011204244041440
6112552143034150012
74312024663115246
oct463615524555470
982787444555508
1021150253112120
11681485454aa50
122457088b82308
13ba55ca3c0ac2
1453196b901796
1526a277527cb5
hex133c6d52db38

21150253112120 has 128 divisors (see below), whose sum is σ = 51964967577600. Its totient is φ = 7683492633600.

The previous prime is 21150253112117. The next prime is 21150253112129. The reversal of 21150253112120 is 2121135205112.

It is a self number, because there is not a number n which added to its sum of digits gives 21150253112120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21150253112129) 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, 2967619997 + ... + 2967627123.

It is an arithmetic number, because the mean of its divisors is an integer number (405976309200).

Almost surely, 221150253112120 is an apocalyptic number.

21150253112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21150253112120 is an abundant number, since it is smaller than the sum of its proper divisors (30814714465480).

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

21150253112120 is a wasteful number, since it uses less digits than its factorization.

21150253112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12789 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 21150253112120 its reverse (2121135205112), we get a palindrome (23271388317232).

The spelling of 21150253112120 in words is "twenty-one trillion, one hundred fifty billion, two hundred fifty-three million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 1721 3442 3919 6884 7127 7838 8605 13768 14254 15676 17210 18931 19595 28508 31352 34420 35635 37862 39190 43109 57016 68840 71270 75724 78380 78397 86218 94655 142540 151448 156760 156794 172436 189310 215545 285080 313588 344872 378620 391985 431090 627176 757240 783970 862180 1567940 1724360 3135880 6744599 12265567 13489198 24531134 26978396 27930713 33722995 49062268 53956792 55861426 61327835 67445990 74190589 98124536 111722852 122655670 134891980 134921237 139653565 148381178 223445704 245311340 269783960 269842474 279307130 296762356 307237843 370952945 490622680 539684948 558614260 593524712 614475686 674606185 741905890 1079369896 1117228520 1228951372 1349212370 1483811780 1536189215 2457902744 2698424740 2967623560 3072378430 5396849480 6144756860 12289513720 48068757073 96137514146 192275028292 240343785365 384550056584 480687570730 528756327803 961375141460 1057512655606 1922750282920 2115025311212 2643781639015 4230050622424 5287563278030 10575126556060 21150253112120