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10112132199 = 3136133712613
BaseRepresentation
bin10010110101011101…
…01110010001100111
3222002201202112120210
421122232232101213
5131202201212244
64351230030503
7505405463661
oct113256562147
928081675523
1010112132199
11431a042654
121b62648433
13c51cbb1a0
146bcdd1531
153e2b5c4b9
hex25abae467

10112132199 has 32 divisors (see below), whose sum is σ = 14802983104. Its totient is φ = 6102190080.

The previous prime is 10112132171. The next prime is 10112132201. The reversal of 10112132199 is 99123121101.

It is a de Polignac number, because none of the positive numbers 2k-10112132199 is a prime.

It is a super-2 number, since 2×101121321992 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112132159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 795417 + ... + 808029.

It is an arithmetic number, because the mean of its divisors is an integer number (462593222).

Almost surely, 210112132199 is an apocalyptic number.

10112132199 is a deficient number, since it is larger than the sum of its proper divisors (4690850905).

10112132199 is a wasteful number, since it uses less digits than its factorization.

10112132199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13027.

The product of its (nonzero) digits is 972, while the sum is 30.

It can be divided in two parts, 10112 and 132199, that added together give a triangular number (142311 = T533).

The spelling of 10112132199 in words is "ten billion, one hundred twelve million, one hundred thirty-two thousand, one hundred ninety-nine".

Divisors: 1 3 13 39 61 183 337 793 1011 2379 4381 12613 13143 20557 37839 61671 163969 267241 491907 769393 801723 2308179 4250581 10002109 12751743 30006327 55257553 165772659 259285441 777856323 3370710733 10112132199