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232213011211311 = 31317483417245317
BaseRepresentation
bin110100110011001001001110…
…000010111010010000101111
31010110012100101000100101000020
4310303021032002322100233
5220414034221332230221
62141513103515133223
766624556614646554
oct6463111602722057
91113170330311006
10232213011211311
1167a98a92058a89
122206452b744213
139c75792a7a360
14414b253988a2b
151bca5d76d3ac6
hexd3324e0ba42f

232213011211311 has 32 divisors (see below), whose sum is σ = 353055188058048. Its totient is φ = 134491612968960.

The previous prime is 232213011211193. The next prime is 232213011211397. The reversal of 232213011211311 is 113112110312232.

It is not a de Polignac number, because 232213011211311 - 219 = 232213010687023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232213011211711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28427425 + ... + 35672741.

It is an arithmetic number, because the mean of its divisors is an integer number (11032974626814).

Almost surely, 2232213011211311 is an apocalyptic number.

232213011211311 is a deficient number, since it is larger than the sum of its proper divisors (120842176846737).

232213011211311 is a wasteful number, since it uses less digits than its factorization.

232213011211311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7293691.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 232213011211311 its reverse (113112110312232), we get a palindrome (345325121523543).

The spelling of 232213011211311 in words is "two hundred thirty-two trillion, two hundred thirteen billion, eleven million, two hundred eleven thousand, three hundred eleven".

Divisors: 1 3 13 17 39 51 221 663 48341 145023 628433 821797 1885299 2465391 7245317 10683361 21735951 32050083 94189121 123170389 282567363 369511167 1601215057 4803645171 350245869097 1050737607291 4553196298261 5954179774649 13659588894783 17862539323947 77404337070437 232213011211311