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31114116 = 22321178571
BaseRepresentation
bin111011010110…
…0001110000100
32011112202112200
41312230032010
530431122431
63030514500
7525315465
oct166541604
964482480
1031114116
1116621550
12a505a30
1365a5127
1441bcd6c
152ae8ee6
hex1dac384

31114116 has 36 divisors (see below), whose sum is σ = 85800624. Its totient is φ = 9428400.

The previous prime is 31114099. The next prime is 31114157. The reversal of 31114116 is 61141113.

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

It is a super-2 number, since 2×311141162 = 1936176428922912, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38890 + ... + 39681.

Almost surely, 231114116 is an apocalyptic number.

31114116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31114116 is an abundant number, since it is smaller than the sum of its proper divisors (54686508).

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

31114116 is a wasteful number, since it uses less digits than its factorization.

31114116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78592 (or 78587 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 31114116 is about 5578.0028684109. The cubic root of 31114116 is about 314.5230575138.

Adding to 31114116 its reverse (61141113), we get a palindrome (92255229).

It can be divided in two parts, 3111 and 4116, that added together give a palindrome (7227).

The spelling of 31114116 in words is "thirty-one million, one hundred fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 78571 157142 235713 314284 471426 707139 864281 942852 1414278 1728562 2592843 2828556 3457124 5185686 7778529 10371372 15557058 31114116