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13312112310 = 23257171965419
BaseRepresentation
bin11000110010111011…
…01011011010110110
31021100202002101001200
430121131223122312
5204230400043220
610040540433330
7650613042030
oct143135533266
937322071050
1013312112310
115711382012
1226b6248846
131341c50943
14903db2c50
1552da54890
hex31976b6b6

13312112310 has 192 divisors, whose sum is σ = 44087846400. Its totient is φ = 2713015296.

The previous prime is 13312112299. The next prime is 13312112321. The reversal of 13312112310 is 1321121331.

13312112310 is a `hidden beast` number, since 1 + 331 + 21 + 1 + 2 + 310 = 666.

It is an interprime number because it is at equal distance from previous prime (13312112299) and next prime (13312112321).

It is a super-2 number, since 2×133121123102 (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170781 + ... + 236199.

It is an arithmetic number, because the mean of its divisors is an integer number (229624200).

Almost surely, 213312112310 is an apocalyptic number.

13312112310 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 13312112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22043923200).

13312112310 is an abundant number, since it is smaller than the sum of its proper divisors (30775734090).

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

13312112310 is a wasteful number, since it uses less digits than its factorization.

13312112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65475 (or 65472 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13312112310 its reverse (1321121331), we get a palindrome (14633233641).

The spelling of 13312112310 in words is "thirteen billion, three hundred twelve million, one hundred twelve thousand, three hundred ten".