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242113321332113 = 71111327825919013
BaseRepresentation
bin110111000011001101100110…
…100000110110110110010001
31011202020210210122111001100112
4313003031212200312312101
5223213241040230111423
62214533154020131105
7101666052543330020
oct6703154640666621
91152223718431315
10242113321332113
1170165757013290
12231a3225536a95
13a51325a72877a
1443b04c0d028b7
151cecdca749a78
hexdc3366836d91

242113321332113 has 16 divisors (see below), whose sum is σ = 304526857689216. Its totient is φ = 186990175760640.

The previous prime is 242113321332107. The next prime is 242113321332187. The reversal of 242113321332113 is 311233123311242.

It is a happy number.

242113321332113 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 242113321332113 - 28 = 242113321331857 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242113321332113.

It is not an unprimeable number, because it can be changed into a prime (242113321332713) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13912950806 + ... + 13912968207.

It is an arithmetic number, because the mean of its divisors is an integer number (19032928605576).

Almost surely, 2242113321332113 is an apocalyptic number.

It is an amenable number.

242113321332113 is a deficient number, since it is larger than the sum of its proper divisors (62413536357103).

242113321332113 is a wasteful number, since it uses less digits than its factorization.

242113321332113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27825919144.

The product of its digits is 15552, while the sum is 32.

Adding to 242113321332113 its reverse (311233123311242), we get a palindrome (553346444643355).

The spelling of 242113321332113 in words is "two hundred forty-two trillion, one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-two thousand, one hundred thirteen".

Divisors: 1 7 11 77 113 791 1243 8701 27825919013 194781433091 306085109143 2142595764001 3144328848469 22010301939283 34587617333159 242113321332113