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131412310014012 = 22343449567204943
BaseRepresentation
bin11101111000010011010000…
…000011101011100000111100
3122020021220010211110120212120
4131320103100003223200330
5114211024402330422022
61143253552023002540
736452140355563266
oct3570232003534074
9566256124416776
10131412310014012
1138965714100215
12128a4704899450
135843187619701
142464565644b36
15102d5082b4d5c
hex7784d00eb83c

131412310014012 has 48 divisors (see below), whose sum is σ = 314458420953600. Its totient is φ = 42690112754688.

The previous prime is 131412310013989. The next prime is 131412310014019. The reversal of 131412310014012 is 210410013214131.

It is a super-2 number, since 2×1314123100140122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131412310014019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283370788 + ... + 283834155.

It is an arithmetic number, because the mean of its divisors is an integer number (6551217103200).

Almost surely, 2131412310014012 is an apocalyptic number.

131412310014012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131412310014012 is an abundant number, since it is smaller than the sum of its proper divisors (183046110939588).

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

131412310014012 is a wasteful number, since it uses less digits than its factorization.

131412310014012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567205442 (or 567205440 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131412310014012 its reverse (210410013214131), we get a palindrome (341822323228143).

The spelling of 131412310014012 in words is "one hundred thirty-one trillion, four hundred twelve billion, three hundred ten million, fourteen thousand, twelve".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 449 516 898 1347 1796 2694 5388 19307 38614 57921 77228 115842 231684 567204943 1134409886 1701614829 2268819772 3403229658 6806459316 24389812549 48779625098 73169437647 97559250196 146338875294 254675019407 292677750588 509350038814 764025058221 1018700077628 1528050116442 3056100232884 10951025834501 21902051669002 32853077503503 43804103338004 65706155007006 131412310014012