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112111022120 = 23510127750253
BaseRepresentation
bin110100001101001010…
…1100111000000101000
3101201101012200000022112
41220122111213000220
53314100410201440
6123300400141452
711046133651616
oct1503225470050
9351335600275
10112111022120
1143600827299
1219889907888
13a758976916
1455d76dc6b6
152db25da965
hex1a1a567028

112111022120 has 32 divisors (see below), whose sum is σ = 254747331720. Its totient is φ = 44400403200.

The previous prime is 112111022117. The next prime is 112111022123. The reversal of 112111022120 is 21220111211.

It is an interprime number because it is at equal distance from previous prime (112111022117) and next prime (112111022123).

It can be written as a sum of positive squares in 4 ways, for example, as 111314315044 + 796707076 = 333638^2 + 28226^2 .

It is a super-2 number, since 2×1121110221202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112111022095 and 112111022104.

It is not an unprimeable number, because it can be changed into a prime (112111022123) 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, 13871087 + ... + 13879166.

Almost surely, 2112111022120 is an apocalyptic number.

112111022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112111022120 is an abundant number, since it is smaller than the sum of its proper divisors (142636309600).

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

112111022120 is a wasteful number, since it uses less digits than its factorization.

112111022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27750365 (or 27750361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 112111022120 its reverse (21220111211), we get a palindrome (133331133331).

The spelling of 112111022120 in words is "one hundred twelve billion, one hundred eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 27750253 55500506 111001012 138751265 222002024 277502530 555005060 1110010120 2802775553 5605551106 11211102212 14013877765 22422204424 28027755530 56055511060 112111022120