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31106493 = 32112231409
BaseRepresentation
bin111011010101…
…0010110111101
32011112101002100
41312222112331
530430401433
63030415313
7525254325
oct166522675
964471070
1031106493
1116616850
12a501539
1365a1812
1441ba285
152ae6b13
hex1daa5bd

31106493 has 24 divisors (see below), whose sum is σ = 49271040. Its totient is φ = 18754560.

The previous prime is 31106489. The next prime is 31106507. The reversal of 31106493 is 39460113.

31106493 is a `hidden beast` number, since 3 + 1 + 10 + 649 + 3 = 666.

It is not a de Polignac number, because 31106493 - 22 = 31106489 is a prime.

It is a super-2 number, since 2×311064932 = 1935227813518098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31106483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21373 + ... + 22781.

It is an arithmetic number, because the mean of its divisors is an integer number (2052960).

Almost surely, 231106493 is an apocalyptic number.

31106493 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31106493 is a deficient number, since it is larger than the sum of its proper divisors (18164547).

31106493 is a wasteful number, since it uses less digits than its factorization.

31106493 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 31106493 is about 5577.3195174743. The cubic root of 31106493 is about 314.4973692260.

The spelling of 31106493 in words is "thirty-one million, one hundred six thousand, four hundred ninety-three".

Divisors: 1 3 9 11 33 99 223 669 1409 2007 2453 4227 7359 12681 15499 22077 46497 139491 314207 942621 2827863 3456277 10368831 31106493