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31187106 = 23564171
BaseRepresentation
bin111011011111…
…0000010100010
32011200110200000
41312332002202
530440441411
63032240430
7526041336
oct166760242
964613600
1031187106
1116671375
12a540116
1365cc412
1441db7c6
152b10956
hex1dbe0a2

31187106 has 24 divisors (see below), whose sum is σ = 70075824. Its totient is φ = 10395540.

The previous prime is 31187099. The next prime is 31187131. The reversal of 31187106 is 60178113.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 31187106.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31600 + ... + 32571.

It is an arithmetic number, because the mean of its divisors is an integer number (2919826).

Almost surely, 231187106 is an apocalyptic number.

31187106 is an abundant number, since it is smaller than the sum of its proper divisors (38888718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31187106 is an equidigital number, since it uses as much as digits as its factorization.

31187106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64188 (or 64176 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 31187106 is about 5584.5417000861. The cubic root of 31187106 is about 314.7688099545.

The spelling of 31187106 in words is "thirty-one million, one hundred eighty-seven thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 64171 128342 192513 385026 577539 1155078 1732617 3465234 5197851 10395702 15593553 31187106