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230344313435313 = 371153139135355169
BaseRepresentation
bin110100010111111100110110…
…111110100111010010110001
31010012120200221020210121011120
4310113330312332213102301
5220142430123214412223
62133522414452332453
766342553550641350
oct6427746676472261
91105520836717146
10230344313435313
1167438524963510
1221a02330614129
139b6b4b6123b6c
1440c4a1d503997
151b96bb6a48be3
hexd17f36fa74b1

230344313435313 has 64 divisors (see below), whose sum is σ = 392941472716800. Its totient is φ = 116557042268160.

The previous prime is 230344313435239. The next prime is 230344313435359. The reversal of 230344313435313 is 313534313443032.

It is not a de Polignac number, because 230344313435313 - 216 = 230344313369777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (230344313435363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65975808 + ... + 69379361.

It is an arithmetic number, because the mean of its divisors is an integer number (6139710511200).

Almost surely, 2230344313435313 is an apocalyptic number.

It is an amenable number.

230344313435313 is a deficient number, since it is larger than the sum of its proper divisors (162597159281487).

230344313435313 is a wasteful number, since it uses less digits than its factorization.

230344313435313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135355382.

The product of its (nonzero) digits is 1399680, while the sum is 42.

Adding to 230344313435313 its reverse (313534313443032), we get a palindrome (543878626878345).

The spelling of 230344313435313 in words is "two hundred thirty trillion, three hundred forty-four billion, three hundred thirteen million, four hundred thirty-five thousand, three hundred thirteen".

Divisors: 1 3 7 11 21 33 53 77 139 159 231 371 417 583 973 1113 1529 1749 2919 4081 4587 7367 10703 12243 22101 32109 51569 81037 154707 243111 567259 1701777 135355169 406065507 947486183 1488906859 2842458549 4466720577 7173823957 10422348013 18814368491 21521471871 31267044039 50216767699 56443105473 78912063527 131700579437 150650303097 206958053401 236736190581 395101738311 552384444689 620874160203 997161530023 1448706373807 1657153334067 2991484590069 4346119121421 6980130710161 10968776830253 20940392130483 32906330490759 76781437811771 230344313435313