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113033010121312 = 25431632691873471
BaseRepresentation
bin11001101100110110001100…
…011010101000101001100000
3112211012211221211011222002211
4121230312030122220221200
5104303413101042340222
61040222351544451504
732544236235261451
oct3154661432505140
9484184854158084
10113033010121312
113301a0374a3666
121081667a479b94
134b0bc759b2808
141dcab80d61128
15d103abe73277
hex66cd8c6a8a60

113033010121312 has 96 divisors (see below), whose sum is σ = 229957746923520. Its totient is φ = 54659521405440.

The previous prime is 113033010121247. The next prime is 113033010121337. The reversal of 113033010121312 is 213121010330311.

It is a super-2 number, since 2×1130330101213122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59396737 + ... + 61270207.

It is an arithmetic number, because the mean of its divisors is an integer number (2395393197120).

Almost surely, 2113033010121312 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 113033010121312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114978873461760).

113033010121312 is an abundant number, since it is smaller than the sum of its proper divisors (116924736802208).

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

113033010121312 is a wasteful number, since it uses less digits than its factorization.

113033010121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873956 (or 1873948 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 113033010121312 its reverse (213121010330311), we get a palindrome (326154020451623).

The spelling of 113033010121312 in words is "one hundred thirteen trillion, thirty-three billion, ten million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 43 86 163 172 269 326 344 538 652 688 1076 1304 1376 2152 2608 4304 5216 7009 8608 11567 14018 23134 28036 43847 46268 56072 87694 92536 112144 175388 185072 224288 350776 370144 701552 1403104 1873471 1885421 3746942 3770842 7493884 7541684 14987768 15083368 29975536 30166736 59951072 60333472 80559253 161118506 305375773 322237012 503963699 610751546 644474024 1007927398 1221503092 1288948048 2015854796 2443006184 2577896096 4031709592 4886012368 8063419184 9772024736 13131158239 16126838368 21670439057 26262316478 43340878114 52524632956 82146082937 86681756228 105049265912 164292165874 173363512456 210098531824 328584331748 346727024912 420197063648 657168663496 693454049824 1314337326992 2628674653984 3532281566291 7064563132582 14129126265164 28258252530328 56516505060656 113033010121312