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102141412131 = 31126991146793
BaseRepresentation
bin101111100100000011…
…0100100001100100011
3100202122102002100110010
41133020012210030203
53133141200142011
6114531220540003
710244105451363
oct1371006441443
9322572070403
10102141412131
113a3551897a0
1217966b51603
13982a369b05
144d2d60a9a3
1529cc2321a6
hex17c81a4323

102141412131 has 16 divisors (see below), whose sum is σ = 148624502400. Its totient is φ = 61880896320.

The previous prime is 102141412127. The next prime is 102141412223. The reversal of 102141412131 is 131214141201.

It is not a de Polignac number, because 102141412131 - 22 = 102141412127 is a prime.

It is a super-2 number, since 2×1021414121312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102141412098 and 102141412107.

It is not an unprimeable number, because it can be changed into a prime (102141416131) 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, 484330 + ... + 662463.

It is an arithmetic number, because the mean of its divisors is an integer number (9289031400).

Almost surely, 2102141412131 is an apocalyptic number.

102141412131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102141412131 is a deficient number, since it is larger than the sum of its proper divisors (46483090269).

102141412131 is a wasteful number, since it uses less digits than its factorization.

102141412131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149506.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 102141412131 its reverse (131214141201), we get a palindrome (233355553332).

The spelling of 102141412131 in words is "one hundred two billion, one hundred forty-one million, four hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 11 33 2699 8097 29689 89067 1146793 3440379 12614723 37844169 3095194307 9285582921 34047137377 102141412131