Search a number
-
+
252323211051 = 34318910331093
BaseRepresentation
bin1110101011111110100…
…0101010011100101011
3220010021211122012120000
43222333220222130223
513113224220223201
6311525442034043
724141542622552
oct3527750523453
9803254565500
10252323211051
119801196908a
1240a9a648923
131aa4249cba2
14c2d91a2d99
15686bc72d86
hex3abfa2a72b

252323211051 has 80 divisors (see below), whose sum is σ = 394199182080. Its totient is φ = 160657136640.

The previous prime is 252323211013. The next prime is 252323211097. The reversal of 252323211051 is 150112323252.

252323211051 is a `hidden beast` number, since 2 + 5 + 232 + 321 + 105 + 1 = 666.

It is not a de Polignac number, because 252323211051 - 217 = 252323079979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (252323211001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 230853261 + ... + 230854353.

It is an arithmetic number, because the mean of its divisors is an integer number (4927489776).

Almost surely, 2252323211051 is an apocalyptic number.

252323211051 is a deficient number, since it is larger than the sum of its proper divisors (141875971029).

252323211051 is a wasteful number, since it uses less digits than its factorization.

252323211051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2249 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 252323211051 in words is "two hundred fifty-two billion, three hundred twenty-three million, two hundred eleven thousand, fifty-one".

Divisors: 1 3 9 27 31 81 89 93 267 279 801 837 1033 1093 2403 2511 2759 3099 3279 7209 8277 9297 9837 24831 27891 29511 32023 33883 74493 83673 88533 91937 96069 97277 101649 223479 275811 288207 291831 304947 827433 864621 875493 914841 1129069 2482299 2593863 2626479 2744523 2850047 3015587 3387207 7446897 7879437 8550141 9046761 10161621 25650423 27140283 30484863 35001139 76951269 81420849 91454589 100487141 105003417 230853807 244262547 301461423 315010251 904384269 945030753 2713152807 2835092259 3115101371 8139458421 9345304113 28035912339 84107737017 252323211051