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131111412 = 22317683941
BaseRepresentation
bin1111101000010…
…01100111110100
3100010201011001020
413310021213310
5232031031122
621002101140
73151300005
oct764114764
9303634036
10131111412
1168010a43
1237aaa7b0
1321217623
14135ad1ac
15b79cc5c
hex7d099f4

131111412 has 48 divisors (see below), whose sum is σ = 324741312. Its totient is φ = 41029120.

The previous prime is 131111389. The next prime is 131111437. The reversal of 131111412 is 214111131.

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

It is a junction number, because it is equal to n+sod(n) for n = 131111391 and 131111400.

It is a congruent number.

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, 138862 + ... + 139802.

It is an arithmetic number, because the mean of its divisors is an integer number (6765444).

Almost surely, 2131111412 is an apocalyptic number.

131111412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131111412 is an abundant number, since it is smaller than the sum of its proper divisors (193629900).

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

131111412 is a wasteful number, since it uses less digits than its factorization.

131111412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1646 counting only the distinct ones).

The product of its digits is 24, while the sum is 15.

The square root of 131111412 is about 11450.3891636922. The cubic root of 131111412 is about 508.0192451427.

Adding to 131111412 its reverse (214111131), we get a palindrome (345222543).

The spelling of 131111412 in words is "one hundred thirty-one million, one hundred eleven thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 683 941 1366 1882 2049 2732 2823 3764 4098 5646 8196 11292 11611 15997 23222 31994 34833 46444 47991 63988 69666 95982 139332 191964 642703 1285406 1928109 2570812 3856218 7712436 10925951 21851902 32777853 43703804 65555706 131111412