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12331040310 = 2325137011559
BaseRepresentation
bin10110111101111110…
…01011111000110110
31011211101000202021200
423132333023320312
5200223221242220
65355332553330
7614401053561
oct133677137066
934741022250
1012331040310
115258607106
122481782846
13121690cc74
1484d9914d8
154c2861890
hex2defcbe36

12331040310 has 24 divisors (see below), whose sum is σ = 32060705040. Its totient is φ = 3288277392.

The previous prime is 12331040303. The next prime is 12331040311. The reversal of 12331040310 is 1304013321.

12331040310 is a `hidden beast` number, since 1 + 2 + 3 + 310 + 40 + 310 = 666.

It is a super-2 number, since 2×123310403102 (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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12331040311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68505690 + ... + 68505869.

It is an arithmetic number, because the mean of its divisors is an integer number (1335862710).

Almost surely, 212331040310 is an apocalyptic number.

12331040310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12331040310 is an abundant number, since it is smaller than the sum of its proper divisors (19729664730).

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

12331040310 is a wasteful number, since it uses less digits than its factorization.

12331040310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137011572 (or 137011569 counting only the distinct ones).

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

Adding to 12331040310 its reverse (1304013321), we get a palindrome (13635053631).

The spelling of 12331040310 in words is "twelve billion, three hundred thirty-one million, forty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 137011559 274023118 411034677 685057795 822069354 1233104031 1370115590 2055173385 2466208062 4110346770 6165520155 12331040310