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342321303123243 = 3219371391231316201
BaseRepresentation
bin100110111010101101110001…
…1101010111111010100101011
31122220001121010012020021011100
41031311123203222333110223
5324332043012044420433
63212020122522332443
7132050620003530333
oct11565334352772453
91586047105207140
10342321303123243
119a08a716351454
12324881b395a123
13119019b66c98c2
146076621cc00c3
15298986908db13
hex13756e3abf52b

342321303123243 has 96 divisors (see below), whose sum is σ = 538840587084800. Its totient is φ = 208675911744000.

The previous prime is 342321303123187. The next prime is 342321303123287.

342321303123243 is a `hidden beast` number, since 3 + 4 + 2 + 3 + 2 + 13 + 0 + 312 + 324 + 3 = 666.

342321303123243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342321303123243 - 26 = 342321303123179 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 342321303123198 and 342321303123207.

It is not an unprimeable number, because it can be changed into a prime (342321303123643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1082448543 + ... + 1082764743.

Almost surely, 2342321303123243 is an apocalyptic number.

342321303123243 is a deficient number, since it is larger than the sum of its proper divisors (196519283961557).

342321303123243 is a wasteful number, since it uses less digits than its factorization.

342321303123243 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317633 (or 317630 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

It can be divided in two parts, 34232130 and 3123243, that added together give a palindrome (37355373).

The spelling of 342321303123243 in words is "three hundred forty-two trillion, three hundred twenty-one billion, three hundred three million, one hundred twenty-three thousand, two hundred forty-three".

Divisors: 1 3 9 19 37 57 111 139 171 333 417 703 1231 1251 2109 2641 3693 5143 6327 7923 11079 15429 23389 23769 45547 46287 70167 97717 136641 171109 210501 293151 316201 409923 513327 865393 879453 948603 1539981 2596179 2845809 3251071 6007819 6331033 7788537 9753213 11699437 18023457 18993099 29259639 35098311 43951939 54070371 56979297 105294933 120289627 131855817 222289303 360868881 389243431 395567451 666867909 835086841 1082606643 1167730293 1626221743 2000603727 2505260523 3503190879 4878665229 7395625189 7515781569 14402006947 14635995687 22186875567 30898213117 43206020841 54104836909 66560626701 92694639351 129618062523 162314510727 273638131993 278083918053 486943532181 820914395979 1027991901271 2001878965633 2462743187937 3083975703813 6005636896899 9251927111439 18016910690697 38035700347027 114107101041081 342321303123243