Search a number
-
+
112310331102 = 2321923291932551
BaseRepresentation
bin110100010011000110…
…1111010011011011110
3101201220002200221211200
41220212031322123132
53320002421043402
6123332240100330
711054104030434
oct1504615723336
9351802627750
10112310331102
11436a3288062
12199246046a6
13a78b04b528
145615d80d54
152dc4d5a21c
hex1a2637a6de

112310331102 has 192 divisors, whose sum is σ = 278041420800. Its totient is φ = 32572108800.

The previous prime is 112310331097. The next prime is 112310331163. The reversal of 112310331102 is 201133013211.

112310331102 is a `hidden beast` number, since 1 + 1 + 231 + 0 + 331 + 102 = 666.

It is a super-2 number, since 2×1123103311022 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44024727 + ... + 44027277.

It is an arithmetic number, because the mean of its divisors is an integer number (1448132400).

Almost surely, 2112310331102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112310331102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139020710400).

112310331102 is an abundant number, since it is smaller than the sum of its proper divisors (165731089698).

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

112310331102 is a wasteful number, since it uses less digits than its factorization.

112310331102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2823 (or 2820 counting only the distinct ones).

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

Adding to 112310331102 its reverse (201133013211), we get a palindrome (313443344313).

The spelling of 112310331102 in words is "one hundred twelve billion, three hundred ten million, three hundred thirty-one thousand, one hundred two".