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131242443314232 = 23360741647216317
BaseRepresentation
bin11101110101110101000011…
…001101101001010000111000
3122012200122200112022011021110
4131311311003031221100320
5114200234010442023412
61143043540210040320
736433645043502435
oct3565650315512070
9565618615264243
10131242443314232
11388aa675849518
12128777b88790a0
1358301561952c3
14245a24d58ab8c
151028db54ead3c
hex775d43369438

131242443314232 has 64 divisors (see below), whose sum is σ = 328656056094720. Its totient is φ = 43674158867328.

The previous prime is 131242443314221. The next prime is 131242443314243. The reversal of 131242443314232 is 232413344242131.

It is an interprime number because it is at equal distance from previous prime (131242443314221) and next prime (131242443314243).

It is a nude number because it is divisible by every one of its digits.

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, 606605338 + ... + 606821654.

It is an arithmetic number, because the mean of its divisors is an integer number (5135250876480).

Almost surely, 2131242443314232 is an apocalyptic number.

131242443314232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131242443314232 is an abundant number, since it is smaller than the sum of its proper divisors (197413612780488).

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

131242443314232 is a wasteful number, since it uses less digits than its factorization.

131242443314232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258580 (or 258576 counting only the distinct ones).

The product of its digits is 331776, while the sum is 39.

Adding to 131242443314232 its reverse (232413344242131), we get a palindrome (363655787556363).

The spelling of 131242443314232 in words is "one hundred thirty-one trillion, two hundred forty-two billion, four hundred forty-three million, three hundred fourteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 607 1214 1821 2428 3642 4856 7284 14568 41647 83294 124941 166588 216317 249882 333176 432634 499764 648951 865268 999528 1297902 1730536 2595804 5191608 25279729 50559458 75839187 101118916 131304419 151678374 202237832 262608838 303356748 393913257 525217676 606713496 787826514 1050435352 1575653028 3151306056 9008954099 18017908198 27026862297 36035816396 54053724594 72071632792 108107449188 216214898376 5468435138093 10936870276186 16405305414279 21873740552372 32810610828558 43747481104744 65621221657116 131242443314232