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113313133002212 = 2211213181279735573
BaseRepresentation
bin11001110000111011000101…
…000010100111110111100100
3112212012122000001210201111122
4121300323011002213313210
5104323010244022032322
61040555200142153112
732603414032420433
oct3160730502476744
9485178001721448
10113313133002212
1133117914570100
1210860a16b82798
134b2c4c872ba90
141dda55624711a
15d1780458a442
hex670ec50a7de4

113313133002212 has 144 divisors (see below), whose sum is σ = 236118228121776. Its totient is φ = 47263065062400.

The previous prime is 113313133002169. The next prime is 113313133002227. The reversal of 113313133002212 is 212200331313311.

It can be written as a sum of positive squares in 8 ways, for example, as 35667005618596 + 77646127383616 = 5972186^2 + 8811704^2 .

It is a super-2 number, since 2×1133131330022122 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 3185351258 + ... + 3185386830.

Almost surely, 2113313133002212 is an apocalyptic number.

It is an amenable number.

113313133002212 is an abundant number, since it is smaller than the sum of its proper divisors (122805095119564).

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

113313133002212 is a wasteful number, since it uses less digits than its factorization.

113313133002212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38590 (or 38577 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 113313133002212 its reverse (212200331313311), we get a palindrome (325513464315523).

The spelling of 113313133002212 in words is "one hundred thirteen trillion, three hundred thirteen billion, one hundred thirty-three million, two thousand, two hundred twelve".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 181 242 286 362 484 572 724 1573 1991 2353 2797 3146 3982 4706 5594 6292 7964 9412 11188 21901 25883 30767 35573 36361 43802 51766 61534 71146 72722 87604 103532 123068 142292 145444 284713 338437 391303 399971 462449 506257 569426 676874 782606 799942 924898 1012514 1138852 1353748 1565212 1599884 1849796 2025028 4304333 4399681 5086939 5568827 6438713 6581341 8608666 8799362 10173878 11137654 12877426 13162682 17217332 17598724 20347756 22275308 25754852 26325364 55956329 61257097 70825843 72394751 83703269 99497681 111912658 122514194 141651686 144789502 167406538 198995362 223825316 245028388 283303372 289579004 334813076 397990724 779084273 796342261 920735959 1094474491 1293469853 1558168546 1592684522 1841471918 2188948982 2586939706 3116337092 3185369044 3682943836 4377897964 5173879412 10128095549 12039219401 14228168383 18009080261 20256191098 24078438802 28456336766 36018160522 40512382196 48156877604 56912673532 72036321044 156509852213 198099882871 234118043393 313019704426 396199765742 468236086786 626039408852 792399531484 936472173572 2179098711581 2575298477323 4358197423162 5150596954646 8716394846324 10301193909292 28328283250553 56656566501106 113313133002212