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133023212300025 = 3252591214276889
BaseRepresentation
bin11110001111101111100001…
…010100001110011011111001
3122102222220011101022120200200
4132033233201110032123321
5114413423014322100100
61150530004201352413
740006416131231625
oct3617574124163371
9572886141276620
10133023212300025
1139426911487533
1212b04958798709
13592c05c146c58
1424bc501c48185
15105a38ba85e00
hex78fbe150e6f9

133023212300025 has 18 divisors (see below), whose sum is σ = 238259353586670. Its totient is φ = 70945713226560.

The previous prime is 133023212299997. The next prime is 133023212300053. The reversal of 133023212300025 is 520003212320331.

It is a happy number.

133023212300025 is a `hidden beast` number, since 1 + 3 + 30 + 2 + 321 + 2 + 300 + 0 + 2 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (133023212299997) and next prime (133023212300053).

It can be written as a sum of positive squares in 3 ways, for example, as 531970385769 + 132491241914256 = 729363^2 + 11510484^2 .

It is not a de Polignac number, because 133023212300025 - 226 = 133023145191161 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 295607138220 + ... + 295607138669.

It is an arithmetic number, because the mean of its divisors is an integer number (13236630754815).

Almost surely, 2133023212300025 is an apocalyptic number.

133023212300025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133023212300025 is a deficient number, since it is larger than the sum of its proper divisors (105236141286645).

133023212300025 is a wasteful number, since it uses less digits than its factorization.

133023212300025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591214276905 (or 591214276897 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 133023212300025 its reverse (520003212320331), we get a palindrome (653026424620356).

The spelling of 133023212300025 in words is "one hundred thirty-three trillion, twenty-three billion, two hundred twelve million, three hundred thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 591214276889 1773642830667 2956071384445 5320928492001 8868214153335 14780356922225 26604642460005 44341070766675 133023212300025