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112121122111110 = 23257177970035097
BaseRepresentation
bin11001011111100100111011…
…101001111011111010000110
3112200222200012210000101122100
4121133210323221323322012
5104143443024230023420
61034243422112012530
732421324633134160
oct3137447351737206
9480880183011570
10112121122111110
11327a8334492852
12106a99a8b31146
134a73c90342b58
141d98996b8d930
15ce67dae48190
hex65f93ba7be86

112121122111110 has 48 divisors (see below), whose sum is σ = 333159905703456. Its totient is φ = 25627685053824.

The previous prime is 112121122111081. The next prime is 112121122111123. The reversal of 112121122111110 is 11111221121211.

112121122111110 is a `hidden beast` number, since 1 + 121 + 211 + 221 + 1 + 1 + 110 = 666.

It is a super-2 number, since 2×1121211221111102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88985016919 + ... + 88985018178.

It is an arithmetic number, because the mean of its divisors is an integer number (6940831368822).

Almost surely, 2112121122111110 is an apocalyptic number.

112121122111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112121122111110 is an abundant number, since it is smaller than the sum of its proper divisors (221038783592346).

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

112121122111110 is a wasteful number, since it uses less digits than its factorization.

112121122111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177970035117 (or 177970035114 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 112121122111110 its reverse (11111221121211), we get a palindrome (123232343232321).

The spelling of 112121122111110 in words is "one hundred twelve trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 177970035097 355940070194 533910105291 889850175485 1067820210582 1245790245679 1601730315873 1779700350970 2491580491358 2669550526455 3203460631746 3737370737037 5339101052910 6228951228395 7474741474074 8008651579365 11212112211111 12457902456790 16017303158730 18686853685185 22424224422222 37373707370370 56060561055555 112121122111110