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199670000112 = 243211691182423
BaseRepresentation
bin1011100111110101000…
…0100110100111110000
3201002101100022221202100
42321331100212213300
511232411010000422
6231421021020400
720266002666132
oct2717520464760
9632340287670
10199670000112
1177752567420
12328450b4700
1315aa0b4947b
14994233d052
1552d94db7ac
hex2e7d4269f0

199670000112 has 120 divisors (see below), whose sum is σ = 610484105088. Its totient is φ = 60418166400.

The previous prime is 199670000059. The next prime is 199670000143. The reversal of 199670000112 is 211000076991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1003333 + ... + 1185755.

Almost surely, 2199670000112 is an apocalyptic number.

199670000112 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 199670000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305242052544).

199670000112 is an abundant number, since it is smaller than the sum of its proper divisors (410814104976).

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

199670000112 is a wasteful number, since it uses less digits than its factorization.

199670000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183139 (or 183130 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 36.

The spelling of 199670000112 in words is "one hundred ninety-nine billion, six hundred seventy million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 691 792 1382 1584 2073 2764 4146 5528 6219 7601 8292 11056 12438 15202 16584 22803 24876 30404 33168 45606 49752 60808 68409 91212 99504 121616 136818 182423 182424 273636 364846 364848 547269 547272 729692 1094538 1094544 1459384 1641807 2006653 2189076 2918768 3283614 4013306 4378152 6019959 6567228 8026612 8756304 12039918 13134456 16053224 18059877 24079836 26268912 32106448 36119754 48159672 72239508 96319344 126054293 144479016 252108586 288958032 378162879 504217172 756325758 1008434344 1134488637 1386597223 1512651516 2016868688 2268977274 2773194446 3025303032 4159791669 4537954548 5546388892 6050606064 8319583338 9075909096 11092777784 12479375007 16639166676 18151818192 22185555568 24958750014 33278333352 49917500028 66556666704 99835000056 199670000112