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31117312 = 21271107
BaseRepresentation
bin111011010110…
…1000000000000
32011112220221001
41312231000000
530431223222
63030541344
7525331012
oct166550000
964486831
1031117312
1116623996
12a507854
1365a6715
1441c01b2
152ae9e27
hex1dad000

31117312 has 52 divisors (see below), whose sum is σ = 63693216. Its totient is φ = 15196160.

The previous prime is 31117297. The next prime is 31117313. The reversal of 31117312 is 21371113.

It is a super-2 number, since 2×311173122 = 1936574212210688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31117312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31117313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 290763 + ... + 290869.

Almost surely, 231117312 is an apocalyptic number.

31117312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31117312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31846608).

31117312 is an abundant number, since it is smaller than the sum of its proper divisors (32575904).

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

31117312 is an equidigital number, since it uses as much as digits as its factorization.

31117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 180 counting only the distinct ones).

The product of its digits is 126, while the sum is 19.

The square root of 31117312 is about 5578.2893435174. The cubic root of 31117312 is about 314.5338262731.

Adding to 31117312 its reverse (21371113), we get a palindrome (52488425).

The spelling of 31117312 in words is "thirty-one million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 71 107 128 142 214 256 284 428 512 568 856 1024 1136 1712 2048 2272 3424 4096 4544 6848 7597 9088 13696 15194 18176 27392 30388 36352 54784 60776 72704 109568 121552 145408 219136 243104 290816 438272 486208 972416 1944832 3889664 7779328 15558656 31117312