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13312313010 = 2335131376373
BaseRepresentation
bin11000110010111100…
…11100011010110010
31021100202110120101000
430121132130122302
5204230423004020
610040545022430
7650614536123
oct143136343262
937322416330
1013312313010
1157114a9887
1226b6324a16
131341cc10b9
1490402604a
1552da94090
hex31979c6b2

13312313010 has 64 divisors (see below), whose sum is σ = 35770584960. Its totient is φ = 3522841920.

The previous prime is 13312312997. The next prime is 13312313011. The reversal of 13312313010 is 1031321331.

It is a happy number.

13312313010 is a `hidden beast` number, since 1 + 331 + 2 + 31 + 301 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13312313011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152817 + ... + 223556.

It is an arithmetic number, because the mean of its divisors is an integer number (558915390).

Almost surely, 213312313010 is an apocalyptic number.

13312313010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13312313010 is an abundant number, since it is smaller than the sum of its proper divisors (22458271950).

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

13312313010 is a wasteful number, since it uses less digits than its factorization.

13312313010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376520 (or 376514 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 13312313010 its reverse (1031321331), we get a palindrome (14343634341).

The spelling of 13312313010 in words is "thirteen billion, three hundred twelve million, three hundred thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 131 135 262 270 393 655 786 1179 1310 1965 2358 3537 3930 5895 7074 11790 17685 35370 376373 752746 1129119 1881865 2258238 3387357 3763730 5645595 6774714 10162071 11291190 16936785 20324142 33873570 49304863 50810355 98609726 101620710 147914589 246524315 295829178 443743767 493048630 739572945 887487534 1331231301 1479145890 2218718835 2662462602 4437437670 6656156505 13312313010