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131121414 = 23237196879
BaseRepresentation
bin1111101000011…
…00000100000110
3100010201122202200
413310030010012
5232031341124
621002215330
73151341114
oct764140406
9303648680
10131121414
1168018506
1237ab4546
132121c048
14135b2ab4
15b7a0bc9
hex7d0c106

131121414 has 24 divisors (see below), whose sum is σ = 291776160. Its totient is φ = 42525648.

The previous prime is 131121409. The next prime is 131121433. The reversal of 131121414 is 414121131.

131121414 is a `hidden beast` number, since 131 + 121 + 414 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97774 + ... + 99105.

It is an arithmetic number, because the mean of its divisors is an integer number (12157340).

Almost surely, 2131121414 is an apocalyptic number.

131121414 is an abundant number, since it is smaller than the sum of its proper divisors (160654746).

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

131121414 is a wasteful number, since it uses less digits than its factorization.

131121414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196924 (or 196921 counting only the distinct ones).

The product of its digits is 96, while the sum is 18.

The square root of 131121414 is about 11450.8259090775. The cubic root of 131121414 is about 508.0321631113.

Adding to 131121414 its reverse (414121131), we get a palindrome (545242545).

The spelling of 131121414 in words is "one hundred thirty-one million, one hundred twenty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 196879 393758 590637 1181274 1771911 3543822 7284523 14569046 21853569 43707138 65560707 131121414