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112312210200 = 233521741271991
BaseRepresentation
bin110100010011001010…
…1000101001100011000
3101201220020020102110220
41220212111011030120
53320003411211300
6123332344240040
711054126015031
oct1504625051430
9351806212426
10112312210200
11436a4350933
1219925170020
13a78b558918
14561630da88
152dc50cbda0
hex1a26545318

112312210200 has 384 divisors, whose sum is σ = 379415715840. Its totient is φ = 27371520000.

The previous prime is 112312210193. The next prime is 112312210201. The reversal of 112312210200 is 2012213211.

It is a super-2 number, since 2×1123122102002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112312210200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112312210201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113331705 + ... + 113332695.

It is an arithmetic number, because the mean of its divisors is an integer number (988061760).

Almost surely, 2112312210200 is an apocalyptic number.

112312210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112312210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189707857920).

112312210200 is an abundant number, since it is smaller than the sum of its proper divisors (267103505640).

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

112312210200 is a wasteful number, since it uses less digits than its factorization.

112312210200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 112312210200 its reverse (2012213211), we get a palindrome (114324423411).

The spelling of 112312210200 in words is "one hundred twelve billion, three hundred twelve million, two hundred ten thousand, two hundred".