Search a number
-
+
131416021 = 11611391409
BaseRepresentation
bin1111101010100…
…11111111010101
3100011021121220001
413311103333111
5232120303041
621012411301
73154006042
oct765237725
9304247801
10131416021
11681a9890
1238016b31
13212c3179
141364c1c9
15b80d131
hex7d53fd5

131416021 has 16 divisors (see below), whose sum is σ = 146865600. Its totient is φ = 116582400.

The previous prime is 131416013. The next prime is 131416031. The reversal of 131416021 is 120614131.

It is not a de Polignac number, because 131416021 - 23 = 131416013 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131416021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131416031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92565 + ... + 93973.

It is an arithmetic number, because the mean of its divisors is an integer number (9179100).

Almost surely, 2131416021 is an apocalyptic number.

131416021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

131416021 is a deficient number, since it is larger than the sum of its proper divisors (15449579).

131416021 is a wasteful number, since it uses less digits than its factorization.

131416021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 131416021 is about 11463.6826979815. The cubic root of 131416021 is about 508.4123651256.

The spelling of 131416021 in words is "one hundred thirty-one million, four hundred sixteen thousand, twenty-one".

Divisors: 1 11 61 139 671 1409 1529 8479 15499 85949 93269 195851 945439 2154361 11946911 131416021