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242512135135051 = 2379563703933679
BaseRepresentation
bin110111001001000001000001…
…101010110001111101001011
31011210122221012200000100212211
4313021001001222301331023
5223241304323043310201
62215440311544045551
7102036631532611405
oct6711010152617513
91153587180010784
10242512135135051
11702a9901007231
12232485874638b7
13a541a47396152
1443c5915729b75
151d0846ce32651
hexdc9041ab1f4b

242512135135051 has 32 divisors (see below), whose sum is σ = 256758644736000. Its totient is φ = 228585750595488.

The previous prime is 242512135135037. The next prime is 242512135135057. The reversal of 242512135135051 is 150531531215242.

It is not a de Polignac number, because 242512135135051 - 243 = 233716042112843 is a prime.

It is a super-2 number, since 2×2425121351350512 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 242512135134995 and 242512135135013.

It is not an unprimeable number, because it can be changed into a prime (242512135135057) 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 31 ways as a sum of consecutive naturals, for example, 7200676030 + ... + 7200709708.

It is an arithmetic number, because the mean of its divisors is an integer number (8023707648000).

Almost surely, 2242512135135051 is an apocalyptic number.

242512135135051 is a deficient number, since it is larger than the sum of its proper divisors (14246509600949).

242512135135051 is a wasteful number, since it uses less digits than its factorization.

242512135135051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41383.

The product of its (nonzero) digits is 180000, while the sum is 40.

The spelling of 242512135135051 in words is "two hundred forty-two trillion, five hundred twelve billion, one hundred thirty-five million, one hundred thirty-five thousand, fifty-one".

Divisors: 1 23 79 563 1817 7039 12949 33679 44477 161897 556081 774617 1022971 2660641 3962957 12789863 18961277 61194743 91148011 237066481 313073603 436109371 1497940883 5452529063 7200692869 18728251999 34452640309 133468428803 430749795977 3069773862469 10544005875437 242512135135051