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110122114120 = 2352994932857
BaseRepresentation
bin110011010001111001…
…0100001110001001000
3101112020121012000110021
41212203302201301020
53301012230122440
6122331151030224
710645633345204
oct1464362416110
9345217160407
10110122114120
1142780076277
121941380b374
13a4cc8b4195
1454894cdb04
152ce7bb984a
hex19a3ca1c48

110122114120 has 32 divisors (see below), whose sum is σ = 256318716600. Its totient is φ = 42529919488.

The previous prime is 110122114093. The next prime is 110122114127. The reversal of 110122114120 is 21411221011.

It can be written as a sum of positive squares in 4 ways, for example, as 75120942724 + 35001171396 = 274082^2 + 187086^2 .

It is a super-4 number, since 4×1101221141204 (a number of 45 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110122114094 and 110122114103.

It is not an unprimeable number, because it can be changed into a prime (110122114127) 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, 47465269 + ... + 47467588.

Almost surely, 2110122114120 is an apocalyptic number.

110122114120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110122114120 is an abundant number, since it is smaller than the sum of its proper divisors (146196602480).

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

110122114120 is a wasteful number, since it uses less digits than its factorization.

110122114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94932897 (or 94932893 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110122114120 its reverse (21411221011), we get a palindrome (131533335131).

The spelling of 110122114120 in words is "one hundred ten billion, one hundred twenty-two million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 94932857 189865714 379731428 474664285 759462856 949328570 1898657140 2753052853 3797314280 5506105706 11012211412 13765264265 22024422824 27530528530 55061057060 110122114120