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21031133313132 = 22324147631480451
BaseRepresentation
bin1001100100000101100010…
…01110101111100001101100
32202110120000211201002212100
410302002301032233201230
510224033230112010012
6112421322543335100
74300310042410455
oct462026116574154
982416024632770
1021031133313132
116779287524988
122437b83bb1490
13b972c568a347
14529cab44012c
1526710498c8dc
hex1320b13af86c

21031133313132 has 144 divisors (see below), whose sum is σ = 55705618934784. Its totient is φ = 6683251680000.

The previous prime is 21031133313097. The next prime is 21031133313191. The reversal of 21031133313132 is 23131333113012.

21031133313132 is a `hidden beast` number, since 2 + 1 + 0 + 3 + 1 + 13 + 331 + 313 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21031133313096 and 21031133313105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43533507 + ... + 44013957.

It is an arithmetic number, because the mean of its divisors is an integer number (386844575936).

Almost surely, 221031133313132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21031133313132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27852809467392).

21031133313132 is an abundant number, since it is smaller than the sum of its proper divisors (34674485621652).

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

21031133313132 is a wasteful number, since it uses less digits than its factorization.

21031133313132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481180 (or 481175 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 21031133313132 its reverse (23131333113012), we get a palindrome (44162466426144).

The spelling of 21031133313132 in words is "twenty-one trillion, thirty-one billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 41 47 82 94 123 141 164 188 246 282 369 423 492 564 631 738 846 1262 1476 1692 1893 1927 2524 3786 3854 5679 5781 7572 7708 11358 11562 17343 22716 23124 25871 29657 34686 51742 59314 69372 77613 88971 103484 118628 155226 177942 232839 266913 310452 355884 465678 480451 533826 931356 960902 1067652 1215937 1441353 1921804 2431874 2882706 3647811 4324059 4863748 5765412 7295622 8648118 10943433 14591244 17296236 19698491 21886866 22581197 39396982 43773732 45162394 59095473 67743591 78793964 90324788 118190946 135487182 177286419 203230773 236381892 270974364 303164581 354572838 406461546 606329162 709145676 812923092 909493743 925829077 1212658324 1818987486 1851658154 2728481229 2777487231 3637974972 3703316308 5456962458 5554974462 8332461693 10913924916 11109948924 12429747821 14248735307 16664923386 24859495642 28497470614 33329846772 37289243463 42746205921 49718991284 56994941228 74578486926 85492411842 111867730389 128238617763 149156973852 170984823684 223735460778 256477235526 447470921556 512954471052 584198147587 1168396295174 1752594442761 2336792590348 3505188885522 5257783328283 7010377771044 10515566656566 21031133313132