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102401131 = 7210132063
BaseRepresentation
bin1100001101010…
…00010001101011
321010200111221111
412012220101223
5202203314011
614054451151
72352252400
oct606502153
9233614844
10102401131
1152891538
122a363ab7
13182a46b1
14d8582a7
158ecb121
hex61a846b

102401131 has 12 divisors (see below), whose sum is σ = 119295072. Its totient is φ = 87643248.

The previous prime is 102401113. The next prime is 102401147. The reversal of 102401131 is 131104201.

It is a de Polignac number, because none of the positive numbers 2k-102401131 is a prime.

It is a super-2 number, since 2×1024011312 = 20971983260158322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102401111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48606 + ... + 50668.

It is an arithmetic number, because the mean of its divisors is an integer number (9941256).

Almost surely, 2102401131 is an apocalyptic number.

102401131 is a deficient number, since it is larger than the sum of its proper divisors (16893941).

102401131 is a wasteful number, since it uses less digits than its factorization.

102401131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3083 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 102401131 is about 10119.3443957600. The cubic root of 102401131 is about 467.8445605369.

Adding to 102401131 its reverse (131104201), we get a palindrome (233505332).

The spelling of 102401131 in words is "one hundred two million, four hundred one thousand, one hundred thirty-one".

Divisors: 1 7 49 1013 2063 7091 14441 49637 101087 2089819 14628733 102401131