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102073631 = 1113767733
BaseRepresentation
bin1100001010110…
…00010100011111
321010001212200212
412011120110133
5202112324011
614043443035
72346416522
oct605302437
9233055625
10102073631
1152688480
122a22647b
13181bb5ca
14d7b0bb9
158e6408b
hex615851f

102073631 has 8 divisors (see below), whose sum is σ = 112167504. Its totient is φ = 92115520.

The previous prime is 102073597. The next prime is 102073663. The reversal of 102073631 is 136370201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102073631 is a prime.

It is a super-2 number, since 2×1020736312 = 20838052291048322, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102073597 and 102073606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102079631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32360 + ... + 35373.

It is an arithmetic number, because the mean of its divisors is an integer number (14020938).

Almost surely, 2102073631 is an apocalyptic number.

102073631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102073631 is a deficient number, since it is larger than the sum of its proper divisors (10093873).

102073631 is a wasteful number, since it uses less digits than its factorization.

102073631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67881.

The product of its (nonzero) digits is 756, while the sum is 23.

The square root of 102073631 is about 10103.1495584298. The cubic root of 102073631 is about 467.3452733219.

The spelling of 102073631 in words is "one hundred two million, seventy-three thousand, six hundred thirty-one".

Divisors: 1 11 137 1507 67733 745063 9279421 102073631