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13431354345 = 3253110519161
BaseRepresentation
bin11001000001001001…
…00011001111101001
31021200001110111101100
430200210203033221
5210001411314340
610100440312013
7653561425323
oct144044431751
937601414340
1013431354345
115772716352
12272a172609
131360870866
14915b72613
1553925a830
hex3209233e9

13431354345 has 48 divisors (see below), whose sum is σ = 24057506304. Its totient is φ = 6924960000.

The previous prime is 13431354337. The next prime is 13431354383. The reversal of 13431354345 is 54345313431.

It is not a de Polignac number, because 13431354345 - 23 = 13431354337 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1461565 + ... + 1470725.

It is an arithmetic number, because the mean of its divisors is an integer number (501198048).

Almost surely, 213431354345 is an apocalyptic number.

13431354345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13431354345 is a deficient number, since it is larger than the sum of its proper divisors (10626151959).

13431354345 is a wasteful number, since it uses less digits than its factorization.

13431354345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10254 (or 10251 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

Adding to 13431354345 its reverse (54345313431), we get a palindrome (67776667776).

The spelling of 13431354345 in words is "thirteen billion, four hundred thirty-one million, three hundred fifty-four thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 31 45 93 155 279 465 1051 1395 3153 5255 9161 9459 15765 27483 32581 45805 47295 82449 97743 137415 162905 283991 293229 412245 488715 851973 1419955 1466145 2555919 4259865 9628211 12779595 28884633 48141055 86653899 144423165 298474541 433269495 895423623 1492372705 2686270869 4477118115 13431354345