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12323011032 = 2333193002683
BaseRepresentation
bin10110111101000001…
…00011100111011000
31011210210220211012000
423132200203213120
5200214142323112
65354444521000
7614242602603
oct133640434730
934723824160
1012323011032
115254022642
12247ab50160
13121505b407
1484c8a133a
154c1cc77dc
hex2de8239d8

12323011032 has 64 divisors (see below), whose sum is σ = 36032208000. Its totient is φ = 3891475872.

The previous prime is 12323011009. The next prime is 12323011033. The reversal of 12323011032 is 23011032321.

12323011032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 12323010996 and 12323011014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12323011033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1497238 + ... + 1505445.

It is an arithmetic number, because the mean of its divisors is an integer number (563003250).

Almost surely, 212323011032 is an apocalyptic number.

12323011032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12323011032 is an abundant number, since it is smaller than the sum of its proper divisors (23709196968).

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

12323011032 is a wasteful number, since it uses less digits than its factorization.

12323011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002717 (or 3002707 counting only the distinct ones).

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

Adding to 12323011032 its reverse (23011032321), we get a palindrome (35334043353).

The spelling of 12323011032 in words is "twelve billion, three hundred twenty-three million, eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 3002683 6005366 9008049 12010732 18016098 24021464 27024147 36032196 54048294 57050977 72064392 81072441 108096588 114101954 162144882 171152931 216193176 228203908 324289764 342305862 456407816 513458793 648579528 684611724 1026917586 1369223448 1540376379 2053835172 3080752758 4107670344 6161505516 12323011032