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102032112031 = 1710187767759
BaseRepresentation
bin101111100000110010…
…1100111100110011111
3100202100210102022220021
41133001211213212133
53132430210041111
6114512314133011
710241310433243
oct1370145474637
9322323368807
10102032112031
113a2a9515a33
1217936421167
13981081b1b5
144d1ccb8423
1529c2841d71
hex17c196799f

102032112031 has 16 divisors (see below), whose sum is σ = 109229662080. Its totient is φ = 94969612800.

The previous prime is 102032112011. The next prime is 102032112041. The reversal of 102032112031 is 130211230201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102032112031 is a prime.

It is a super-2 number, since 2×1020321120312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102032111996 and 102032112014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102032112011) 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, 1471930 + ... + 1539688.

It is an arithmetic number, because the mean of its divisors is an integer number (6826853880).

Almost surely, 2102032112031 is an apocalyptic number.

102032112031 is a deficient number, since it is larger than the sum of its proper divisors (7197550049).

102032112031 is a wasteful number, since it uses less digits than its factorization.

102032112031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68754.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 102032112031 its reverse (130211230201), we get a palindrome (232243342232).

The spelling of 102032112031 in words is "one hundred two billion, thirty-two million, one hundred twelve thousand, thirty-one".

Divisors: 1 17 101 877 1717 14909 67759 88577 1151903 1505809 6843659 59424643 116342203 1010218931 6001888943 102032112031