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31880112 = 243113499
BaseRepresentation
bin111100110011…
…1001110110000
32012222200021220
41321213032300
531130130422
63055145040
7534655635
oct171471660
965880256
1031880112
1116aa5000
12a815180
1367b2994
14433c18c
152beae5c
hex1e673b0

31880112 has 80 divisors (see below), whose sum is σ = 90768000. Its totient is φ = 9641280.

The previous prime is 31880099. The next prime is 31880129. The reversal of 31880112 is 21108813.

It is a super-2 number, since 2×318801122 = 2032683082265088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63639 + ... + 64137.

It is an arithmetic number, because the mean of its divisors is an integer number (1134600).

Almost surely, 231880112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31880112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384000).

31880112 is an abundant number, since it is smaller than the sum of its proper divisors (58887888).

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

31880112 is a wasteful number, since it uses less digits than its factorization.

31880112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 31880112 is about 5646.2476034974. The cubic root of 31880112 is about 317.0832343538.

Adding to 31880112 its reverse (21108813), we get a palindrome (52988925).

It can be divided in two parts, 318801 and 12, that added together give a palindrome (318813).

The spelling of 31880112 in words is "thirty-one million, eight hundred eighty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 499 528 726 968 998 1331 1452 1497 1936 1996 2662 2904 2994 3992 3993 5324 5489 5808 5988 7984 7986 10648 10978 11976 15972 16467 21296 21956 23952 31944 32934 43912 60379 63888 65868 87824 120758 131736 181137 241516 263472 362274 483032 664169 724548 966064 1328338 1449096 1992507 2656676 2898192 3985014 5313352 7970028 10626704 15940056 31880112