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102431214441 = 3317412179063
BaseRepresentation
bin101111101100101100…
…0000100101101101001
3100210101121101211111000
41133121120010231221
53134234342330231
6115020052225213
710254224646153
oct1373130045551
9323347354430
10102431214441
113a493828536
1217a2800b209
13987540707a
144d59cc7ad3
1529e78c96e6
hex17d9604b69

102431214441 has 16 divisors (see below), whose sum is σ = 151837179520. Its totient is φ = 68248221840.

The previous prime is 102431214337. The next prime is 102431214451. The reversal of 102431214441 is 144412134201.

102431214441 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 3 + 1 + 214 + 441 = 666.

It is not a de Polignac number, because 102431214441 - 225 = 102397660009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102431214451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042525 + ... + 1136538.

It is an arithmetic number, because the mean of its divisors is an integer number (9489823720).

Almost surely, 2102431214441 is an apocalyptic number.

It is an amenable number.

102431214441 is a deficient number, since it is larger than the sum of its proper divisors (49405965079).

102431214441 is a wasteful number, since it uses less digits than its factorization.

102431214441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180813 (or 2180807 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 102431214441 its reverse (144412134201), we get a palindrome (246843348642).

The spelling of 102431214441 in words is "one hundred two billion, four hundred thirty-one million, two hundred fourteen thousand, four hundred forty-one".

Divisors: 1 3 9 27 1741 5223 15669 47007 2179063 6537189 19611567 58834701 3793748683 11381246049 34143738147 102431214441