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131040112 = 2472192463
BaseRepresentation
bin1111100111110…
…00001101110000
3100010120112020111
413303320031300
5232021240422
621000351104
73150552100
oct763701560
9303515214
10131040112
1167a72415
1237a75494
13211c1038
1413591200
15b786a77
hex7cf8370

131040112 has 90 divisors (see below), whose sum is σ = 312377328. Its totient is φ = 53089344.

The previous prime is 131040109. The next prime is 131040149. The reversal of 131040112 is 211040131.

It is a junction number, because it is equal to n+sod(n) for n = 131040092 and 131040101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 282793 + ... + 283255.

Almost surely, 2131040112 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 131040112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156188664).

131040112 is an abundant number, since it is smaller than the sum of its proper divisors (181337216).

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

131040112 is a wasteful number, since it uses less digits than its factorization.

131040112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 131040112 is about 11447.2753089982. The cubic root of 131040112 is about 507.9271394047.

Adding to 131040112 its reverse (211040131), we get a palindrome (342080243).

The spelling of 131040112 in words is "one hundred thirty-one million, forty thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 76 98 112 133 152 196 266 304 361 392 463 532 722 784 926 931 1064 1444 1852 1862 2128 2527 2888 3241 3704 3724 5054 5776 6482 7408 7448 8797 10108 12964 14896 17594 17689 20216 22687 25928 35188 35378 40432 45374 51856 61579 70376 70756 90748 123158 140752 141512 167143 181496 246316 283024 334286 362992 431053 492632 668572 862106 985264 1170001 1337144 1724212 2340002 2674288 3448424 4680004 6896848 8190007 9360008 16380014 18720016 32760028 65520056 131040112