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252151104132 = 223223304530319
BaseRepresentation
bin1110101011010101100…
…0001000001010000100
3220002211211210021020200
43222311120020022010
513112401140313012
6311500413130500
724134353010244
oct3526530101204
9802754707220
10252151104132
1197a337a7664
1240a50a89a30
131aa15930885
14c2c03a1b24
15685bac83dc
hex3ab5608284

252151104132 has 36 divisors (see below), whose sum is σ = 665094218880. Its totient is φ = 80396003952.

The previous prime is 252151104083. The next prime is 252151104137. The reversal of 252151104132 is 231401151252.

It is a happy number.

252151104132 is a `hidden beast` number, since 2 + 521 + 5 + 1 + 1 + 0 + 4 + 132 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×2521511041323 (a number of 35 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 252151104096 and 252151104105.

It is not an unprimeable number, because it can be changed into a prime (252151104137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152264332 + ... + 152265987.

Almost surely, 2252151104132 is an apocalyptic number.

It is an amenable number.

252151104132 is an abundant number, since it is smaller than the sum of its proper divisors (412943114748).

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

252151104132 is a wasteful number, since it uses less digits than its factorization.

252151104132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304530352 (or 304530347 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 252151104132 its reverse (231401151252), we get a palindrome (483552255384).

The spelling of 252151104132 in words is "two hundred fifty-two billion, one hundred fifty-one million, one hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 304530319 609060638 913590957 1218121276 1827181914 2740772871 3654363828 5481545742 7004197337 10963091484 14008394674 21012592011 28016789348 42025184022 63037776033 84050368044 126075552066 252151104132