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13031402310 = 235511174801
BaseRepresentation
bin11000010001011101…
…10110101101000110
31020122011212211100000
430020232312231012
5203142014333220
65553032102130
7640634043363
oct141056665506
936564784300
1013031402310
115587983483
122638234946
1312c8a48054
148b89c146a
155140a6390
hex308bb6b46

13031402310 has 96 divisors (see below), whose sum is σ = 35175303072. Its totient is φ = 3471206400.

The previous prime is 13031402303. The next prime is 13031402311. The reversal of 13031402310 is 1320413031.

13031402310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×130314023102 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13031402311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2711910 + ... + 2716710.

It is an arithmetic number, because the mean of its divisors is an integer number (366409407).

Almost surely, 213031402310 is an apocalyptic number.

13031402310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13031402310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587651536).

13031402310 is an abundant number, since it is smaller than the sum of its proper divisors (22143900762).

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

13031402310 is a wasteful number, since it uses less digits than its factorization.

13031402310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13031402310 its reverse (1320413031), we get a palindrome (14351815341).

The spelling of 13031402310 in words is "thirteen billion, thirty-one million, four hundred two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 810 1117 1215 2234 2430 3351 4801 5585 6702 9602 10053 11170 14403 16755 20106 24005 28806 30159 33510 43209 48010 50265 60318 72015 86418 90477 100530 129627 144030 150795 180954 216045 259254 271431 301590 388881 432090 452385 542862 648135 777762 904770 1166643 1296270 1357155 1944405 2333286 2714310 3888810 5362717 5833215 10725434 11666430 16088151 26813585 32176302 48264453 53627170 80440755 96528906 144793359 160881510 241322265 289586718 434380077 482644530 723966795 868760154 1303140231 1447933590 2171900385 2606280462 4343800770 6515701155 13031402310