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131121225140202 = 232112436257223759
BaseRepresentation
bin11101110100000100001010…
…000011000000011111101010
3122012021001210121220220011100
4131310010022003000133222
5114141242232113441302
61142512131555542230
736422124123146313
oct3564041203003752
9565231717826140
10131121225140202
11388632212a5200
1212858208bba976
1358218a87c24cb
14245443054360a
151025b6d619d1c
hex77410a0c07ea

131121225140202 has 144 divisors (see below), whose sum is σ = 319585404378240. Its totient is φ = 38803288930560.

The previous prime is 131121225140111. The next prime is 131121225140221. The reversal of 131121225140202 is 202041522121131.

131121225140202 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 2 + 1 + 2 + 251 + 402 + 0 + 2 = 666.

131121225140202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 585881199 + ... + 586104957.

It is an arithmetic number, because the mean of its divisors is an integer number (2219343085960).

Almost surely, 2131121225140202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131121225140202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159792702189120).

131121225140202 is an abundant number, since it is smaller than the sum of its proper divisors (188464179238038).

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

131121225140202 is a wasteful number, since it uses less digits than its factorization.

131121225140202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230089 (or 230075 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 131121225140202 its reverse (202041522121131), we get a palindrome (333162747261333).

The spelling of 131121225140202 in words is "one hundred thirty-one trillion, one hundred twenty-one billion, two hundred twenty-five million, one hundred forty thousand, two hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 43 66 86 99 121 129 198 242 258 363 387 473 726 774 946 1089 1419 2178 2838 4257 5203 6257 8514 10406 12514 15609 18771 31218 37542 46827 56313 68827 93654 112626 137654 206481 223759 269051 412962 447518 538102 619443 671277 757097 807153 1238886 1342554 1514194 1614306 2013831 2271291 2421459 2461349 2959561 4027662 4542582 4842918 4922698 5919122 6813873 7384047 8878683 9621637 13627746 14768094 17757366 19243274 22152141 26636049 27074839 28864911 32555171 44304282 53272098 54149678 57729822 65110342 81224517 86594733 97665513 105838007 162449034 173189466 195331026 211676014 243673551 292996539 317514021 487347102 585993078 635028042 952542063 1164218077 1400060063 1905084126 2328436154 2800120126 3492654231 4200180189 6985308462 8400360378 10477962693 12600540567 15400660693 20955925386 25201081134 30801321386 46201982079 60202582709 92403964158 120405165418 138605946237 169407267623 180607748127 277211892474 338814535246 361215496254 508221802869 541823244381 662228409799 1016443605738 1083646488762 1324456819598 1524665408607 1986685229397 3049330817214 3973370458794 5960055688191 7284512507789 11920111376382 14569025015578 21853537523367 43707075046734 65560612570101 131121225140202