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131402505323225 = 5241310941234341
BaseRepresentation
bin11101111000001010000111…
…101001110000001011011001
3122020020221211112012200121202
4131320022013221300023121
5114210344312330320400
61143245251054243545
736451342402231043
oct3570120751601331
9566227745180552
10131402505323225
1138961542664984
12128a28291b65b5
135842284233426
142463cb5402a93
15102d1326364d5
hex778287a702d9

131402505323225 has 24 divisors (see below), whose sum is σ = 166966922313240. Its totient is φ = 102525062976000.

The previous prime is 131402505323197. The next prime is 131402505323231. The reversal of 131402505323225 is 522323505204131.

It can be written as a sum of positive squares in 12 ways, for example, as 112307938831936 + 19094566491289 = 10597544^2 + 4369733^2 .

It is not a de Polignac number, because 131402505323225 - 224 = 131402488546009 is a prime.

It is a super-4 number, since 4×1314025053232254 (a number of 58 digits) contains 4444 as substring.

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, 17430446 + ... + 23803895.

It is an arithmetic number, because the mean of its divisors is an integer number (6956955096385).

Almost surely, 2131402505323225 is an apocalyptic number.

It is an amenable number.

131402505323225 is a deficient number, since it is larger than the sum of its proper divisors (35564416990015).

131402505323225 is a wasteful number, since it uses less digits than its factorization.

131402505323225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41237501 (or 41237496 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 38.

The spelling of 131402505323225 in words is "one hundred thirty-one trillion, four hundred two billion, five hundred five million, three hundred twenty-three thousand, two hundred twenty-five".

Divisors: 1 5 25 41 205 1025 3109 15545 77725 127469 637345 3186725 41234341 206171705 1030858525 1690607981 8453039905 42265199525 128197566169 640987830845 3204939154225 5256100212929 26280501064645 131402505323225