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112132113030 = 23257225426783
BaseRepresentation
bin110100001101110011…
…0000100001010000110
3101201102200100112121100
41220123212010022012
53314121310104110
6123302432200530
711046511143300
oct1503346041206
9351380315540
10112132113030
11436117221a3
1219894999146
13a76014c752
1455da42c970
152db43a4bc0
hex1a1b984286

112132113030 has 72 divisors (see below), whose sum is σ = 339142444992. Its totient is φ = 25630196256.

The previous prime is 112132113001. The next prime is 112132113043. The reversal of 112132113030 is 30311231211.

It is a super-2 number, since 2×1121321130302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112132112994 and 112132113012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12708982 + ... + 12717801.

It is an arithmetic number, because the mean of its divisors is an integer number (4710311736).

Almost surely, 2112132113030 is an apocalyptic number.

112132113030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112132113030 is an abundant number, since it is smaller than the sum of its proper divisors (227010331962).

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

112132113030 is a wasteful number, since it uses less digits than its factorization.

112132113030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25426810 (or 25426800 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 112132113030 its reverse (30311231211), we get a palindrome (142443344241).

The spelling of 112132113030 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred thirteen thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 25426783 50853566 76280349 127133915 152560698 177987481 228841047 254267830 355974962 381401745 457682094 533962443 762803490 889937405 1067924886 1144205235 1245912367 1601887329 1779874810 2288410470 2491824734 2669812215 3203774658 3737737101 5339624430 6229561835 7475474202 8009436645 11213211303 12459123670 16018873290 18688685505 22426422606 37377371010 56066056515 112132113030