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12331113132 = 22313174649741
BaseRepresentation
bin10110111101111110…
…11101101010101100
31011211101011110011210
423132333131222230
5200223231110012
65355334314420
7614401506102
oct133677355254
934741143153
1012331113132
115258656898
1224817b8a10
131216937160
1484d9adc72
154c287823c
hex2defddaac

12331113132 has 48 divisors (see below), whose sum is σ = 32808579552. Its totient is φ = 3571000320.

The previous prime is 12331113121. The next prime is 12331113143. The reversal of 12331113132 is 23131113321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12331113121) and next prime (12331113143).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12331113099 and 12331113108.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2322219 + ... + 2327522.

It is an arithmetic number, because the mean of its divisors is an integer number (683512074).

Almost surely, 212331113132 is an apocalyptic number.

12331113132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12331113132 is an abundant number, since it is smaller than the sum of its proper divisors (20477466420).

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

12331113132 is a wasteful number, since it uses less digits than its factorization.

12331113132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649778 (or 4649776 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

Adding to 12331113132 its reverse (23131113321), we get a palindrome (35462226453).

The spelling of 12331113132 in words is "twelve billion, three hundred thirty-one million, one hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 4649741 9299482 13949223 18598964 27898446 55796892 60446633 79045597 120893266 158091194 181339899 237136791 241786532 316182388 362679798 474273582 725359596 948547164 1027592761 2055185522 3082778283 4110371044 6165556566 12331113132