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243311242113342 = 232131012101930363
BaseRepresentation
bin110111010100101001010000…
…001001111111000100111110
31011220111022211210202220101100
4313110221100021333010332
5223342402410440111332
62221251350323553530
7102151441254060534
oct6724512011770476
91156438753686340
10243311242113342
117058779a075557
122335742282b8a6
13a59c1c83204c0
144412481230154
151d1e13cb2567c
hexdd4a5027f13e

243311242113342 has 72 divisors (see below), whose sum is σ = 573402942999432. Its totient is φ = 74123759246400.

The previous prime is 243311242113319. The next prime is 243311242113343.

243311242113342 is a `hidden beast` number, since 2 + 4 + 3 + 311 + 2 + 4 + 2 + 1 + 1 + 334 + 2 = 666.

243311242113342 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 243311242113297 and 243311242113306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (243311242113343) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48578148 + ... + 53352215.

It is an arithmetic number, because the mean of its divisors is an integer number (7963929763881).

Almost surely, 2243311242113342 is an apocalyptic number.

243311242113342 is an abundant number, since it is smaller than the sum of its proper divisors (330091700886090).

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

243311242113342 is a wasteful number, since it uses less digits than its factorization.

243311242113342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101930586 (or 101930482 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 243311242113342 in words is "two hundred forty-three trillion, three hundred eleven billion, two hundred forty-two million, one hundred thirteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 202 234 303 606 909 1313 1818 2626 3939 7878 10201 11817 20402 23634 30603 61206 91809 132613 183618 265226 397839 795678 1193517 2387034 101930363 203860726 305791089 611582178 917373267 1325094719 1834746534 2650189438 3975284157 7950568314 10294966663 11925852471 20589933326 23851704942 30884899989 61769799978 92654699967 133834566619 185309399934 267669133238 401503699857 803007399714 1039791632963 1204511099571 2079583265926 2409022199142 3119374898889 6238749797778 9358124696667 13517291228519 18716249393334 27034582457038 40551873685557 81103747371114 121655621056671 243311242113342