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112442211312 = 2435273444253
BaseRepresentation
bin110100010111000010…
…0111111101111110000
3101202020021212011110220
41220232010333233300
53320240201230222
6123353310453040
711060265012024
oct1505604775760
9352207764426
10112442211312
1143760773672
1219960804180
13a7ac474a62
1456296b0384
152dd170ab5c
hex1a2e13fbf0

112442211312 has 40 divisors (see below), whose sum is σ = 290531453904. Its totient is φ = 37473544704.

The previous prime is 112442211263. The next prime is 112442211313. The reversal of 112442211312 is 213112244211.

112442211312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1124422113122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112442211313) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30978 + ... + 475230.

Almost surely, 2112442211312 is an apocalyptic number.

112442211312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112442211312 is an abundant number, since it is smaller than the sum of its proper divisors (178089242592).

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

112442211312 is a wasteful number, since it uses less digits than its factorization.

112442211312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449537 (or 449531 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 112442211312 its reverse (213112244211), we get a palindrome (325554455523).

The spelling of 112442211312 in words is "one hundred twelve billion, four hundred forty-two million, two hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 5273 10546 15819 21092 31638 42184 63276 84368 126552 253104 444253 888506 1332759 1777012 2665518 3554024 5331036 7108048 10662072 21324144 2342546069 4685092138 7027638207 9370184276 14055276414 18740368552 28110552828 37480737104 56221105656 112442211312