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220031112120 = 23353105159051
BaseRepresentation
bin1100110011101011100…
…0000101001110111000
3210000221100100121112220
43030322320011032320
512101110431041440
6245025250204040
721616401410541
oct3147270051670
9700840317486
10220031112120
1185350910216
1236787b83620
131799729b041
14a9145854c8
155acbcd88d0
hex333ae053b8

220031112120 has 64 divisors (see below), whose sum is σ = 660125773440. Its totient is φ = 58672080000.

The previous prime is 220031112113. The next prime is 220031112151. The reversal of 220031112120 is 21211130022.

220031112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220031112120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3696595 + ... + 3755645.

It is an arithmetic number, because the mean of its divisors is an integer number (10314465210).

Almost surely, 2220031112120 is an apocalyptic number.

220031112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220031112120 is an abundant number, since it is smaller than the sum of its proper divisors (440094661320).

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

220031112120 is a wasteful number, since it uses less digits than its factorization.

220031112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90116 (or 90112 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 220031112120 its reverse (21211130022), we get a palindrome (241242242142).

The spelling of 220031112120 in words is "two hundred twenty billion, thirty-one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 31051 59051 62102 93153 118102 124204 155255 177153 186306 236204 248408 295255 310510 354306 372612 465765 472408 590510 621020 708612 745224 885765 931530 1181020 1242040 1417224 1771530 1863060 2362040 3543060 3726120 7086120 1833592601 3667185202 5500777803 7334370404 9167963005 11001555606 14668740808 18335926010 22003111212 27503889015 36671852020 44006222424 55007778030 73343704040 110015556060 220031112120