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10112011220 = 2254161320117
BaseRepresentation
bin10010110101011100…
…10000101111010100
3222002201112101122002
421122232100233110
5131202133324340
64351223254432
7505404451163
oct113256205724
928081471562
1010112011220
114319a6a773
121b625aa418
13c51c780bc
146bcd9d3da
153e2b36715
hex25ab90bd4

10112011220 has 48 divisors (see below), whose sum is σ = 21789725328. Its totient is φ = 3939517440.

The previous prime is 10112011207. The next prime is 10112011253. The reversal of 10112011220 is 2211021101.

10112011220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5940401476 + 4171609744 = 77074^2 + 64588^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492602 + ... + 512718.

It is an arithmetic number, because the mean of its divisors is an integer number (453952611).

Almost surely, 210112011220 is an apocalyptic number.

10112011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894862664).

10112011220 is an abundant number, since it is smaller than the sum of its proper divisors (11677714108).

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

10112011220 is a wasteful number, since it uses less digits than its factorization.

10112011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20780 (or 20778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112011220 its reverse (2211021101), we get a palindrome (12323032321).

The spelling of 10112011220 in words is "ten billion, one hundred twelve million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 613 820 1226 2452 3065 6130 12260 20117 25133 40234 50266 80468 100532 100585 125665 201170 251330 402340 502660 824797 1649594 3299188 4123985 8247970 12331721 16495940 24663442 49326884 61658605 123317210 246634420 505600561 1011201122 2022402244 2528002805 5056005610 10112011220