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12312113310 = 2325719543037
BaseRepresentation
bin10110111011101101…
…11111000010011110
31011210001102011022200
423131312333002132
5200203400111220
65353415152330
7614051144040
oct133566770236
934701364280
1012312113310
115248959a62
1224773756a6
131212a14063
1484b265a90
154c0d73890
hex2dddbf09e

12312113310 has 48 divisors (see below), whose sum is σ = 36584567136. Its totient is φ = 2814197184.

The previous prime is 12312113251. The next prime is 12312113311. The reversal of 12312113310 is 1331121321.

12312113310 is a `hidden beast` number, since 12 + 312 + 11 + 331 + 0 = 666.

It is a super-3 number, since 3×123121133103 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12312113311) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9770889 + ... + 9772148.

It is an arithmetic number, because the mean of its divisors is an integer number (762178482).

Almost surely, 212312113310 is an apocalyptic number.

12312113310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12312113310 is an abundant number, since it is smaller than the sum of its proper divisors (24272453826).

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

12312113310 is a wasteful number, since it uses less digits than its factorization.

12312113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19543057 (or 19543054 counting only the distinct ones).

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

Adding to 12312113310 its reverse (1331121321), we get a palindrome (13643234631).

The spelling of 12312113310 in words is "twelve billion, three hundred twelve million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 19543037 39086074 58629111 97715185 117258222 136801259 175887333 195430370 273602518 293145555 351774666 410403777 586291110 684006295 820807554 879436665 1231211331 1368012590 1758873330 2052018885 2462422662 4104037770 6156056655 12312113310