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112132113318 = 23725636057
BaseRepresentation
bin110100001101110011…
…0000100001110100110
3101201102200100120000000
41220123212010032212
53314121310111233
6123302432202130
711046511144161
oct1503346041646
9351380316000
10112132113318
1143611722435
1219894999346
13a76014c914
1455da42cad8
152db43a4d13
hex1a1b9843a6

112132113318 has 32 divisors (see below), whose sum is σ = 252258810720. Its totient is φ = 37377369648.

The previous prime is 112132113293. The next prime is 112132113319. The reversal of 112132113318 is 813311231211.

112132113318 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 321 + 1 + 331 + 8 = 666.

It is a super-2 number, since 2×1121321133182 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 112132113291 and 112132113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112132113319) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12813655 + ... + 12822402.

It is an arithmetic number, because the mean of its divisors is an integer number (7883087835).

Almost surely, 2112132113318 is an apocalyptic number.

112132113318 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

112132113318 is an abundant number, since it is smaller than the sum of its proper divisors (140126697402).

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

112132113318 is an frugal number, since it uses more digits than its factorization.

112132113318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25636080 (or 25636062 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

Adding to 112132113318 its reverse (813311231211), we get a palindrome (925443344529).

The spelling of 112132113318 in words is "one hundred twelve billion, one hundred thirty-two million, one hundred thirteen thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4374 25636057 51272114 76908171 153816342 230724513 461449026 692173539 1384347078 2076520617 4153041234 6229561851 12459123702 18688685553 37377371106 56066056659 112132113318