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106675406831 = 734117414357
BaseRepresentation
bin110001101011001011…
…0011000011111101111
3101012100101121010220202
41203112112120133233
53221432401004311
6121001144104115
710464341666000
oct1432626303757
9335311533822
10106675406831
1141271539054
121881146503b
13a0a07b6906
14523d8451a7
152b952d7e3b
hex18d65987ef

106675406831 has 32 divisors (see below), whose sum is σ = 127539484800. Its totient is φ = 89134214400.

The previous prime is 106675406741. The next prime is 106675406857. The reversal of 106675406831 is 138604576601.

It is not a de Polignac number, because 106675406831 - 230 = 105601665007 is a prime.

It is a super-2 number, since 2×1066754068312 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106675400831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24481505 + ... + 24485861.

It is an arithmetic number, because the mean of its divisors is an integer number (3985608900).

Almost surely, 2106675406831 is an apocalyptic number.

106675406831 is a deficient number, since it is larger than the sum of its proper divisors (20864077969).

106675406831 is an equidigital number, since it uses as much as digits as its factorization.

106675406831 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 106675406831 in words is "one hundred six billion, six hundred seventy-five million, four hundred six thousand, eight hundred thirty-one".

Divisors: 1 7 41 49 287 343 1741 2009 4357 12187 14063 30499 71381 85309 178637 213493 499667 597163 1250459 1494451 3497669 7585537 8753213 24483683 53098759 61272491 311007017 371691313 2177049119 2601839191 15239343833 106675406831