Search a number
-
+
112100112020112 = 2432519304458169
BaseRepresentation
bin11001011111010001010111…
…010110110011001010010000
3112200220122222112211012000220
4121133101113112303022100
5104143122012134120422
61034230025220513040
732416652164250436
oct3137212726631220
9480818875735026
10112100112020112
113279a432878487
12106a590484b780
134a71cc2606c48
141d97962690d56
15ce5eab6a5e5c
hex65f4575b3290

112100112020112 has 40 divisors (see below), whose sum is σ = 290745708896160. Its totient is φ = 37217832672000.

The previous prime is 112100112020107. The next prime is 112100112020119. The reversal of 112100112020112 is 211020211001211.

It is a happy number.

It is a super-2 number, since 2×1121001120201122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112100112020091 and 112100112020100.

It is not an unprimeable number, because it can be changed into a prime (112100112020119) 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, 4652217037 + ... + 4652241132.

It is an arithmetic number, because the mean of its divisors is an integer number (7268642722404).

Almost surely, 2112100112020112 is an apocalyptic number.

112100112020112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112100112020112 is an abundant number, since it is smaller than the sum of its proper divisors (178645596876048).

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

112100112020112 is a wasteful number, since it uses less digits than its factorization.

112100112020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9304458431 (or 9304458425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112100112020112 its reverse (211020211001211), we get a palindrome (323120323021323).

The spelling of 112100112020112 in words is "one hundred twelve trillion, one hundred billion, one hundred twelve million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 2008 3012 4016 6024 12048 9304458169 18608916338 27913374507 37217832676 55826749014 74435665352 111653498028 148871330704 223306996056 446613992112 2335419000419 4670838000838 7006257001257 9341676001676 14012514002514 18683352003352 28025028005028 37366704006704 56050056010056 112100112020112