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131140016 = 24710111593
BaseRepresentation
bin1111101000100…
…00100110110000
3100010202121021122
413310100212300
5232032440031
621002441412
73151446260
oct764204660
9303677248
10131140016
1168030487
1237b03268
1321227657
14135b97a0
15b7a647b
hex7d109b0

131140016 has 40 divisors (see below), whose sum is σ = 293281824. Its totient is φ = 55641600.

The previous prime is 131140007. The next prime is 131140049. The reversal of 131140016 is 610041131.

131140016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 131139976 and 131140003.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5516 + ... + 17108.

Almost surely, 2131140016 is an apocalyptic number.

131140016 is a gapful number since it is divisible by the number (16) 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 131140016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146640912).

131140016 is an abundant number, since it is smaller than the sum of its proper divisors (162141808).

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

131140016 is a wasteful number, since it uses less digits than its factorization.

131140016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11709 (or 11703 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 131140016 is about 11451.6381360921. The cubic root of 131140016 is about 508.0561865644.

Adding to 131140016 its reverse (610041131), we get a palindrome (741181147).

The spelling of 131140016 in words is "one hundred thirty-one million, one hundred forty thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 5656 11312 11593 23186 46372 81151 92744 162302 185488 324604 649208 1170893 1298416 2341786 4683572 8196251 9367144 16392502 18734288 32785004 65570008 131140016