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10112012220 = 22351447116471
BaseRepresentation
bin10010110101011100…
…10000111110111100
3222002201112110000010
421122232100332330
5131202133342340
64351223303220
7505404454122
oct113256207674
928081473003
1010112012220
114319a704a2
121b625aab10
13c51c786ab
146bcd9d912
153e2b36b80
hex25ab90fbc

10112012220 has 48 divisors (see below), whose sum is σ = 28333444608. Its totient is φ = 2694649920.

The previous prime is 10112012201. The next prime is 10112012221. The reversal of 10112012220 is 2221021101.

It is a super-2 number, since 2×101120122202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10112012196 and 10112012205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112012221) by changing a digit.

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, 28585 + ... + 145055.

It is an arithmetic number, because the mean of its divisors is an integer number (590280096).

Almost surely, 210112012220 is an apocalyptic number.

10112012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112012220 is an abundant number, since it is smaller than the sum of its proper divisors (18221432388).

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

10112012220 is a wasteful number, since it uses less digits than its factorization.

10112012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117930 (or 117928 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10112012220 its reverse (2221021101), we get a palindrome (12333033321).

The spelling of 10112012220 in words is "ten billion, one hundred twelve million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1447 2894 4341 5788 7235 8682 14470 17364 21705 28940 43410 86820 116471 232942 349413 465884 582355 698826 1164710 1397652 1747065 2329420 3494130 6988260 168533537 337067074 505600611 674134148 842667685 1011201222 1685335370 2022402444 2528003055 3370670740 5056006110 10112012220