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1312001112 = 2331710313119
BaseRepresentation
bin100111000110011…
…1000110001011000
310101102202120011210
41032030320301120
510141333013422
6334104423120
744340553062
oct11614706130
93342676153
101312001112
11613654944
12307477aa0
1317ba7a626
14c6366732
157a2b110c
hex4e338c58

1312001112 has 64 divisors (see below), whose sum is σ = 3477427200. Its totient is φ = 411077120.

The previous prime is 1312001057. The next prime is 1312001137. The reversal of 1312001112 is 2111002131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 419089 + ... + 422207.

It is an arithmetic number, because the mean of its divisors is an integer number (54334800).

Almost surely, 21312001112 is an apocalyptic number.

1312001112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312001112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738713600).

1312001112 is an abundant number, since it is smaller than the sum of its proper divisors (2165426088).

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

1312001112 is a wasteful number, since it uses less digits than its factorization.

1312001112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4176 (or 4172 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1312001112 is about 36221.5559025285. Note that the first 3 decimals coincide. The cubic root of 1312001112 is about 1094.7410442461.

Adding to 1312001112 its reverse (2111002131), we get a palindrome (3423003243).

The spelling of 1312001112 in words is "one billion, three hundred twelve million, one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 1031 2062 3093 3119 4124 6186 6238 8248 9357 12372 12476 17527 18714 24744 24952 35054 37428 52581 53023 70108 74856 105162 106046 140216 159069 210324 212092 318138 420648 424184 636276 1272552 3215689 6431378 9647067 12862756 19294134 25725512 38588268 54666713 77176536 109333426 164000139 218666852 328000278 437333704 656000556 1312001112