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1331000112 = 243133757649
BaseRepresentation
bin100111101010101…
…0111001100110000
310102202111210220110
41033111113030300
510211214000422
6340023541320
744661212541
oct11725271460
93382453813
101331000112
116233510a2
123118ba840
131829a0240
14c8ab04c8
157bcb560c
hex4f557330

1331000112 has 80 divisors (see below), whose sum is σ = 3803055200. Its totient is φ = 398462976.

The previous prime is 1331000107. The next prime is 1331000189. The reversal of 1331000112 is 2110001331.

It is a super-2 number, since 2×13310001122 = 3543122596288025088, which contains 22 as substring.

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

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, 5737 + ... + 51912.

It is an arithmetic number, because the mean of its divisors is an integer number (47538190).

Almost surely, 21331000112 is an apocalyptic number.

1331000112 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 1331000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901527600).

1331000112 is an abundant number, since it is smaller than the sum of its proper divisors (2472055088).

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

1331000112 is a wasteful number, since it uses less digits than its factorization.

1331000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57710 (or 57704 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1331000112 is about 36482.8742288762. The cubic root of 1331000112 is about 1100.0000308540. Note that the first 4 decimals are identical.

Adding to 1331000112 its reverse (2110001331), we get a palindrome (3441001443).

The spelling of 1331000112 in words is "one billion, three hundred thirty-one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 57649 115298 172947 230596 345894 461192 691788 749437 922384 1383576 1498874 2133013 2248311 2767152 2997748 4266026 4496622 5995496 6399039 8532052 8993244 11990992 12798078 17064104 17986488 25596156 27729169 34128208 35972976 51192312 55458338 83187507 102384624 110916676 166375014 221833352 332750028 443666704 665500056 1331000112