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13431324010 = 25132191812311
BaseRepresentation
bin11001000001001000…
…11011110101101010
31021200001101221202211
430200210123311222
5210001404332020
610100435515334
7653561241016
oct144044336552
937601357684
1013431324010
1157726a5585
12272a158b4a
13136085cb00
14915b65546
1553925185a
hex32091bd6a

13431324010 has 96 divisors (see below), whose sum is σ = 27721249920. Its totient is φ = 4670265600.

The previous prime is 13431323993. The next prime is 13431324031. The reversal of 13431324010 is 1042313431.

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, 5810755 + ... + 5813065.

It is an arithmetic number, because the mean of its divisors is an integer number (288763020).

Almost surely, 213431324010 is an apocalyptic number.

13431324010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13431324010 is an abundant number, since it is smaller than the sum of its proper divisors (14289925910).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13431324010 is a wasteful number, since it uses less digits than its factorization.

13431324010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 13431324010 its reverse (1042313431), we get a palindrome (14473637441).

The spelling of 13431324010 in words is "thirteen billion, four hundred thirty-one million, three hundred twenty-four thousand, ten".

Divisors: 1 2 5 10 13 19 26 38 65 95 130 169 181 190 247 338 362 494 845 905 1235 1690 1810 2311 2353 2470 3211 3439 4622 4706 6422 6878 11555 11765 16055 17195 23110 23530 30043 30589 32110 34390 43909 44707 60086 61178 87818 89414 150215 152945 219545 223535 300430 305890 390559 418291 439090 447070 570817 581191 781118 836582 1141634 1162382 1952795 2091455 2854085 2905955 3905590 4182910 5437783 5708170 5811910 7420621 7947529 10875566 14841242 15895058 27188915 37103105 39737645 54377830 70691179 74206210 79475290 103317877 141382358 206635754 353455895 516589385 706911790 1033178770 1343132401 2686264802 6715662005 13431324010