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242412052131 = 3379173365579
BaseRepresentation
bin1110000111000011100…
…0100101111010100011
3212011201010001011111000
43201300320211322203
512432424441132011
6303210151323043
723341124305524
oct3416070457243
9764633034430
10242412052131
1193896313757
123ab93380483
1319b2301a002
14ba38b6884b
15648bab3356
hex3870e25ea3

242412052131 has 32 divisors (see below), whose sum is σ = 363890304000. Its totient is φ = 159467858784.

The previous prime is 242412052117. The next prime is 242412052133. The reversal of 242412052131 is 131250214242.

242412052131 is a `hidden beast` number, since 2 + 4 + 241 + 205 + 213 + 1 = 666.

242412052131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 242412052131 - 218 = 242411789987 is a prime.

It is a super-2 number, since 2×2424120521312 (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 242412052095 and 242412052104.

It is not an unprimeable number, because it can be changed into a prime (242412052133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3663700 + ... + 3729278.

It is an arithmetic number, because the mean of its divisors is an integer number (11371572000).

Almost surely, 2242412052131 is an apocalyptic number.

242412052131 is a deficient number, since it is larger than the sum of its proper divisors (121478251869).

242412052131 is a wasteful number, since it uses less digits than its factorization.

242412052131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67400 (or 67394 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 242412052131 its reverse (131250214242), we get a palindrome (373662266373).

The spelling of 242412052131 in words is "two hundred forty-two billion, four hundred twelve million, fifty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 27 79 237 711 1733 2133 5199 15597 46791 65579 136907 196737 410721 590211 1232163 1770633 3696489 5180741 15542223 46626669 113648407 139880007 340945221 1022835663 3068506989 8978224153 26934672459 80804017377 242412052131