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22100110020 = 22325122778389
BaseRepresentation
bin10100100101010001…
…001110101011000100
32010001012020220121100
4110211101032223010
5330230112010040
614052550020100
71411442556432
oct244521165304
963035226540
1022100110020
119410a3283a
124349347630
1321128038a1
1410d919dd52
15895305b30
hex52544eac4

22100110020 has 36 divisors (see below), whose sum is σ = 67037000940. Its totient is φ = 5893362624.

The previous prime is 22100110001. The next prime is 22100110033. The reversal of 22100110020 is 2001100122.

It can be written as a sum of positive squares in 2 ways, for example, as 3855664836 + 18244445184 = 62094^2 + 135072^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×221001100202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 22100109984 and 22100110011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61389015 + ... + 61389374.

It is an arithmetic number, because the mean of its divisors is an integer number (1862138915).

Almost surely, 222100110020 is an apocalyptic number.

22100110020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100110020 is an abundant number, since it is smaller than the sum of its proper divisors (44936890920).

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

22100110020 is a wasteful number, since it uses less digits than its factorization.

22100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122778404 (or 122778399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 22100110020 its reverse (2001100122), we get a palindrome (24101210142).

The spelling of 22100110020 in words is "twenty-two billion, one hundred million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 122778389 245556778 368335167 491113556 613891945 736670334 1105005501 1227783890 1473340668 1841675835 2210011002 2455567780 3683351670 4420022004 5525027505 7366703340 11050055010 22100110020