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2131914402 = 232108832
BaseRepresentation
bin111111100010010…
…0110111010100010
312111120120110202200
41333010212322202
513331232230102
6551314154030
7103554654612
oct17704467242
95446513680
102131914402
119a4456932
124b5b82916
1327c8b3317
141631d6a42
15c726d51c
hex7f126ea2

2131914402 has 18 divisors (see below), whose sum is σ = 4619572347. Its totient is φ = 710572836.

The previous prime is 2131914401. The next prime is 2131914431. The reversal of 2131914402 is 2044191312.

It is a happy number.

2131914402 is a `hidden beast` number, since 2 + 131 + 91 + 440 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1065957201 + 1065957201 = 32649^2 + 32649^2 .

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

It is an ABA number since it can be written as A⋅BA, here for A=2, B=32649.

It is not an unprimeable number, because it can be changed into a prime (2131914401) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 190453 + ... + 201335.

Almost surely, 22131914402 is an apocalyptic number.

2131914402 is an abundant number, since it is smaller than the sum of its proper divisors (2487657945).

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

2131914402 is an frugal number, since it uses more digits than its factorization.

2131914402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21774 (or 10888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2131914402 is about 46172.6585979192. The cubic root of 2131914402 is about 1287.0337071859.

It can be divided in two parts, 21319 and 14402, that added together give a square (35721 = 1892).

The spelling of 2131914402 in words is "two billion, one hundred thirty-one million, nine hundred fourteen thousand, four hundred two".

Divisors: 1 2 3 6 9 18 10883 21766 32649 65298 97947 195894 118439689 236879378 355319067 710638134 1065957201 2131914402