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13312331010 = 232511372271601
BaseRepresentation
bin11000110010111101…
…00000110100000010
31021100202111111001200
430121132200310002
5204230424043020
610040545242030
7650614642446
oct143136406402
937322444050
1013312331010
115711511360
1226b6333316
131341cc9354
1490402c826
1552da99590
hex3197a0d02

13312331010 has 192 divisors, whose sum is σ = 38974276224. Its totient is φ = 3124224000.

The previous prime is 13312331009. The next prime is 13312331077. The reversal of 13312331010 is 1013321331.

It is a happy number.

13312331010 is a `hidden beast` number, since 1 + 331 + 2 + 331 + 0 + 1 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8314210 + ... + 8315810.

It is an arithmetic number, because the mean of its divisors is an integer number (202991022).

Almost surely, 213312331010 is an apocalyptic number.

13312331010 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 13312331010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487138112).

13312331010 is an abundant number, since it is smaller than the sum of its proper divisors (25661945214).

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

13312331010 is a wasteful number, since it uses less digits than its factorization.

13312331010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1889 (or 1886 counting only the distinct ones).

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

Adding to 13312331010 its reverse (1013321331), we get a palindrome (14325652341).

The spelling of 13312331010 in words is "thirteen billion, three hundred twelve million, three hundred thirty-one thousand, ten".