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232301233311313 = 23347208913933357
BaseRepresentation
bin110100110100011011011000…
…011111100000111001010001
31010110111210002100210101211111
4310310123120133200321101
5220422010411211430223
62142021414025013321
766634132055302315
oct6464333037407121
91113453070711744
10232301233311313
116802244413a531
1222079651024241
139c80bb24497aa
1441516226c3b45
151bcca4c92030d
hexd346d87e0e51

232301233311313 has 16 divisors (see below), whose sum is σ = 243216238573440. Its totient is φ = 221454753860736.

The previous prime is 232301233311289. The next prime is 232301233311383. The reversal of 232301233311313 is 313113332103232.

It is a happy number.

232301233311313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 232301233311313 - 229 = 232300696440401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (232301233311383) 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, 9705631 + ... + 23638987.

It is an arithmetic number, because the mean of its divisors is an integer number (15201014910840).

Almost surely, 2232301233311313 is an apocalyptic number.

232301233311313 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

232301233311313 is a deficient number, since it is larger than the sum of its proper divisors (10915005262127).

232301233311313 is a wasteful number, since it uses less digits than its factorization.

232301233311313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13935816.

The product of its (nonzero) digits is 17496, while the sum is 31.

Adding to 232301233311313 its reverse (313113332103232), we get a palindrome (545414565414545).

The spelling of 232301233311313 in words is "two hundred thirty-two trillion, three hundred one billion, two hundred thirty-three million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 23 347 2089 7981 48047 724883 13933357 16672309 320467211 4834874879 29106782773 111202122217 669456003779 10100053622231 232301233311313