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3121332002292 = 2237297157348571
BaseRepresentation
bin101101011010111101111…
…000101001110111110100
3102001101200222211121120210
4231122331320221313310
5402114441443033132
610345530425225420
7441336342155100
oct55327570516764
912041628747523
103121332002292
11aa38275a6939
12424b27932270
131984569786ba
14ab1050d0900
15562d660bbcc
hex2d6bde29df4

3121332002292 has 144 divisors (see below), whose sum is σ = 8614073001408. Its totient is φ = 876990965760.

The previous prime is 3121332002273. The next prime is 3121332002293. The reversal of 3121332002292 is 2922002331213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121332002293) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8780367 + ... + 9128937.

Almost surely, 23121332002292 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 3121332002292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4307036500704).

3121332002292 is an abundant number, since it is smaller than the sum of its proper divisors (5492740999116).

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

3121332002292 is a wasteful number, since it uses less digits than its factorization.

3121332002292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348846 (or 348837 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 3121332002292 in words is "three trillion, one hundred twenty-one billion, three hundred thirty-two million, two thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 97 98 147 157 194 196 291 294 314 388 471 582 588 628 679 942 1099 1164 1358 1884 2037 2198 2716 3297 4074 4396 4753 6594 7693 8148 9506 13188 14259 15229 15386 19012 23079 28518 30458 30772 45687 46158 57036 60916 91374 92316 106603 182748 213206 319809 348571 426412 639618 697142 746221 1045713 1279236 1394284 1492442 2091426 2238663 2439997 2984884 4182852 4477326 4879994 7319991 8954652 9759988 14639982 17079979 29279964 33811387 34159958 51239937 54725647 67622774 68319916 101434161 102479874 109451294 135245548 164176941 202868322 204959748 218902588 236679709 328353882 383079529 405736644 473359418 656707764 710039127 766159058 946718836 1149238587 1420078254 1532318116 1656757963 2298477174 2681556703 2840156508 3313515926 4596954348 4970273889 5308387759 5363113406 6627031852 8044670109 9940547778 10616775518 10726226812 15925163277 16089340218 19881095556 21233551036 31850326554 32178680436 37158714313 63700653108 74317428626 111476142939 148634857252 222952285878 260111000191 445904571756 520222000382 780333000573 1040444000764 1560666001146 3121332002292