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112102022112 = 2531171997207
BaseRepresentation
bin110100001100111001…
…1010001101111100000
3101201100120201202121220
41220121303101233200
53314041104201422
6123255435215040
711045664315543
oct1503163215740
9351316652556
10112102022112
11435a673a473
12198868a7480
13a756b45282
1455d643885a
152db190de5c
hex1a19cd1be0

112102022112 has 48 divisors (see below), whose sum is σ = 294519399552. Its totient is φ = 37335392640.

The previous prime is 112102022077. The next prime is 112102022117. The reversal of 112102022112 is 211220201211.

112102022112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 112102022091 and 112102022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112102022117) 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, 386188 + ... + 611019.

It is an arithmetic number, because the mean of its divisors is an integer number (6135820824).

Almost surely, 2112102022112 is an apocalyptic number.

112102022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112102022112 is an abundant number, since it is smaller than the sum of its proper divisors (182417377440).

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

112102022112 is a wasteful number, since it uses less digits than its factorization.

112102022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998391 (or 998383 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 112102022112 its reverse (211220201211), we get a palindrome (323322223323).

The spelling of 112102022112 in words is "one hundred twelve billion, one hundred two million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1171 2342 3513 4684 7026 9368 14052 18736 28104 37472 56208 112416 997207 1994414 2991621 3988828 5983242 7977656 11966484 15955312 23932968 31910624 47865936 95731872 1167729397 2335458794 3503188191 4670917588 7006376382 9341835176 14012752764 18683670352 28025505528 37367340704 56051011056 112102022112