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31105116 = 22327123433
BaseRepresentation
bin111011010101…
…0000001011100
32011112022012100
41312222001130
530430330431
63030405100
7525250320
oct166520134
964468170
1031105116
1116615809
12a500790
1365a0cc3
1441b9980
152ae64e6
hex1daa05c

31105116 has 36 divisors (see below), whose sum is σ = 89859952. Its totient is φ = 8887104.

The previous prime is 31105111. The next prime is 31105141. The reversal of 31105116 is 61150113.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-4 number, since 4×311051164 (a number of 31 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31105111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61465 + ... + 61968.

Almost surely, 231105116 is an apocalyptic number.

31105116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31105116 is an abundant number, since it is smaller than the sum of its proper divisors (58754836).

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

31105116 is a wasteful number, since it uses less digits than its factorization.

31105116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123450 (or 123445 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 31105116 is about 5577.1960697110. The cubic root of 31105116 is about 314.4927285093.

Adding to 31105116 its reverse (61150113), we get a palindrome (92255229).

The spelling of 31105116 in words is "thirty-one million, one hundred five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 123433 246866 370299 493732 740598 864031 1110897 1481196 1728062 2221794 2592093 3456124 4443588 5184186 7776279 10368372 15552558 31105116