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131214007610 = 2572377237397
BaseRepresentation
bin111101000110011110…
…1101101110100111010
3110112200112022012222122
41322030331231310322
54122211241220420
6140140123321242
712323414443100
oct1721475556472
9415615265878
10131214007610
1150713983004
122151b380222
13c4b1561a2a
1464ca803c70
15362e719725
hex1e8cf6dd3a

131214007610 has 48 divisors (see below), whose sum is σ = 282171673224. Its totient is φ = 43771771008.

The previous prime is 131214007597. The next prime is 131214007627. The reversal of 131214007610 is 16700412131.

It can be written as a sum of positive squares in 4 ways, for example, as 129894647281 + 1319360329 = 360409^2 + 36323^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131214007610.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3600569 + ... + 3636828.

Almost surely, 2131214007610 is an apocalyptic number.

131214007610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131214007610 is an abundant number, since it is smaller than the sum of its proper divisors (150957665614).

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

131214007610 is a wasteful number, since it uses less digits than its factorization.

131214007610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237455 (or 7237448 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

Adding to 131214007610 its reverse (16700412131), we get a palindrome (147914419741).

The spelling of 131214007610 in words is "one hundred thirty-one billion, two hundred fourteen million, seven thousand, six hundred ten".

Divisors: 1 2 5 7 10 14 35 37 49 70 74 98 185 245 259 370 490 518 1295 1813 2590 3626 9065 18130 7237397 14474794 36186985 50661779 72373970 101323558 253308895 267783689 354632453 506617790 535567378 709264906 1338918445 1773162265 1874485823 2677836890 3546324530 3748971646 9372429115 13121400761 18744858230 26242801522 65607003805 131214007610