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111001112130 = 23523247148817
BaseRepresentation
bin110011101100000101…
…1101000111001000010
3101121111212011202001010
41213120023220321002
53304312241042010
6122554311021350
711006465612466
oct1473013507102
9347455152033
10111001112130
1143091263507
121961a06a856
13a60ca3634c
1455301404a6
152d49e48620
hex19d82e8e42

111001112130 has 96 divisors (see below), whose sum is σ = 284416199424. Its totient is φ = 27710729728.

The previous prime is 111001112119. The next prime is 111001112227. The reversal of 111001112130 is 31211100111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671482 + ... + 820298.

It is an arithmetic number, because the mean of its divisors is an integer number (2962668744).

Almost surely, 2111001112130 is an apocalyptic number.

111001112130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142208099712).

111001112130 is an abundant number, since it is smaller than the sum of its proper divisors (173415087294).

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

111001112130 is a wasteful number, since it uses less digits than its factorization.

111001112130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148920 (or 148897 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 111001112130 its reverse (31211100111), we get a palindrome (142212212241).

The spelling of 111001112130 in words is "one hundred eleven billion, one million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 47 69 94 115 138 141 230 235 282 345 470 529 690 705 1058 1081 1410 1587 2162 2645 3174 3243 5290 5405 6486 7935 10810 15870 16215 24863 32430 49726 74589 124315 148817 149178 248630 297634 372945 446451 744085 745890 892902 1488170 2232255 3422791 4464510 6845582 6994399 10268373 13988798 17113955 20536746 20983197 34227910 34971995 41966394 51341865 69943990 78724193 102683730 104915985 157448386 160871177 209831970 236172579 321742354 393620965 472345158 482613531 787241930 804355885 965227062 1180862895 1608711770 2361725790 2413067655 3700037071 4826135310 7400074142 11100111213 18500185355 22200222426 37000370710 55500556065 111001112130