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131014116 = 22323639281
BaseRepresentation
bin1111100111100…
…01110111100100
3100010112012120200
413303301313210
5232014422431
621000030500
73150413232
oct763616744
9303465520
10131014116
1167a54932
1237a62430
13211b225c
1413585952
15b77dee6
hex7cf1de4

131014116 has 18 divisors (see below), whose sum is σ = 331174662. Its totient is φ = 43671360.

The previous prime is 131014097. The next prime is 131014123. The reversal of 131014116 is 611410131.

It can be written as a sum of positive squares in only one way, i.e., 122014116 + 9000000 = 11046^2 + 3000^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1310141162 = 34329397182522912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1819605 + ... + 1819676.

Almost surely, 2131014116 is an apocalyptic number.

It is an amenable number.

131014116 is an abundant number, since it is smaller than the sum of its proper divisors (200160546).

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

131014116 is a wasteful number, since it uses less digits than its factorization.

131014116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3639291 (or 3639286 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 131014116 is about 11446.1397859715. The cubic root of 131014116 is about 507.8935493154.

Adding to 131014116 its reverse (611410131), we get a palindrome (742424247).

The spelling of 131014116 in words is "one hundred thirty-one million, fourteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 3639281 7278562 10917843 14557124 21835686 32753529 43671372 65507058 131014116