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21103013002032 = 24321329759378809
BaseRepresentation
bin1001100110001011011011…
…00101111111101100110000
32202201102120021000122011100
410303011231211333230300
510231222432312031112
6112514331302444400
74305433222603623
oct463055545775460
982642507018140
1021103013002032
1167a681275a055
122449aa4433700
13ba100c376640
1452d569953dba
15268e100e82dc
hex13316d97fb30

21103013002032 has 120 divisors (see below), whose sum is σ = 63604441555200. Its totient is φ = 6492999435264.

The previous prime is 21103013002003. The next prime is 21103013002039. The reversal of 21103013002032 is 23020031030112.

21103013002032 is a `hidden beast` number, since 2 + 1 + 10 + 301 + 300 + 20 + 32 = 666.

It is a super-2 number, since 2×211030130020322 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21103013001996 and 21103013002014.

It is not an unprimeable number, because it can be changed into a prime (21103013002039) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55519444 + ... + 55898252.

It is an arithmetic number, because the mean of its divisors is an integer number (530037012960).

Almost surely, 221103013002032 is an apocalyptic number.

It is an amenable number.

21103013002032 is an abundant number, since it is smaller than the sum of its proper divisors (42501428553168).

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

21103013002032 is a wasteful number, since it uses less digits than its factorization.

21103013002032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408595 (or 408586 counting only the distinct ones).

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

Adding to 21103013002032 its reverse (23020031030112), we get a palindrome (44123044032144).

The spelling of 21103013002032 in words is "twenty-one trillion, one hundred three billion, thirteen million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 29759 59518 89277 119036 178554 238072 267831 357108 378809 386867 476144 535662 714216 757618 773734 1071324 1136427 1160601 1428432 1515236 1547468 2142648 2272854 2321202 3030472 3094936 3409281 3481803 4285296 4545708 4642404 4924517 6060944 6189872 6818562 6963606 9091416 9284808 9849034 13637124 13927212 14773551 18182832 18569616 19698068 27274248 27854424 29547102 39396136 44320653 54548496 55708848 59094204 78792272 88641306 118188408 177282612 236376816 354565224 709130448 11272977031 22545954062 33818931093 45091908124 67637862186 90183816248 101456793279 135275724372 146548701403 180367632496 202913586558 270551448744 293097402806 405827173116 439646104209 541102897488 586194805612 811654346232 879292208418 1172389611224 1318938312627 1623308692464 1758584416836 2344779222448 2637876625254 3517168833672 5275753250508 7034337667344 10551506501016 21103013002032