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21132232120332 = 2234233318567311
BaseRepresentation
bin1001100111000001110110…
…01100000101100000001100
32202211012222120221122020000
410303200323030011200030
510232212302410322312
6112540002521524300
74310516261163504
oct463407314054014
982735876848200
1021132232120332
116808147130103
122453699943690
13ba39b7a20858
14530b3c3aca04
15269a703c4adc
hex13383b30580c

21132232120332 has 120 divisors (see below), whose sum is σ = 57819897687552. Its totient is φ = 6717456424800.

The previous prime is 21132232120331. The next prime is 21132232120429. The reversal of 21132232120332 is 23302123223112.

21132232120332 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 2 + 2 + 321 + 2 + 0 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 21132232120296 and 21132232120305.

It is not an unprimeable number, because it can be changed into a prime (21132232120331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1817044 + ... + 6750267.

Almost surely, 221132232120332 is an apocalyptic number.

It is an amenable number.

21132232120332 is an abundant number, since it is smaller than the sum of its proper divisors (36687665567220).

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

21132232120332 is a wasteful number, since it uses less digits than its factorization.

21132232120332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8567681 (or 8567670 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 21132232120332 its reverse (23302123223112), we get a palindrome (44434355343444).

The spelling of 21132232120332 in words is "twenty-one trillion, one hundred thirty-two billion, two hundred thirty-two million, one hundred twenty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 331 414 621 662 828 993 1242 1324 1863 1986 2484 2979 3726 3972 5958 7452 7613 8937 11916 15226 17874 22839 26811 30452 35748 45678 53622 68517 91356 107244 137034 205551 274068 411102 616653 822204 1233306 2466612 8567311 17134622 25701933 34269244 51403866 77105799 102807732 154211598 197048153 231317397 308423196 394096306 462634794 591144459 693952191 788192612 925269588 1182288918 1387904382 1773433377 2364577836 2775808764 2835779941 3546866754 5320300131 5671559882 7093733508 8507339823 10640600262 11343119764 15960900393 17014679646 21281200524 25522019469 31921800786 34029359292 51044038938 63843601572 65222938643 76566058407 102088077876 130445877286 153132116814 195668815929 229698175221 260891754572 306264233628 391337631858 459396350442 587006447787 782675263716 918792700884 1174012895574 1761019343361 2348025791148 3522038686722 5283058030083 7044077373444 10566116060166 21132232120332