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220110112120100 = 22527512772929813
BaseRepresentation
bin110010000011000001100001…
…000010110101110100100100
31001212100022200011110211110112
4302003001201002311310210
5212322241002200320400
62100045104540312152
764235300525041556
oct6203014102656444
91055308604424415
10220110112120100
11641521a103aa34
122082a993242658
1395a83aa067b67
143c4d559ccd4d6
151a6a880cb8835
hexc830610b5d24

220110112120100 has 36 divisors (see below), whose sum is σ = 477639742097364. Its totient is φ = 88043897604480.

The previous prime is 220110112120043. The next prime is 220110112120111. The reversal of 220110112120100 is 1021211011022.

It can be written as a sum of positive squares in 6 ways, for example, as 28238192137444 + 191871919982656 = 5313962^2 + 13851784^2 .

It is a super-2 number, since 2×2201101121201002 (a number of 29 digits) contains 22 as substring.

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, 73662794 + ... + 76592606.

Almost surely, 2220110112120100 is an apocalyptic number.

220110112120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220110112120100 is an abundant number, since it is smaller than the sum of its proper divisors (257529629977264).

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

220110112120100 is a wasteful number, since it uses less digits than its factorization.

220110112120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3681104 (or 3681097 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 220110112120100 its reverse (1021211011022), we get a palindrome (221131323131122).

The spelling of 220110112120100 in words is "two hundred twenty trillion, one hundred ten billion, one hundred twelve million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 751277 1502554 2929813 3005108 3756385 5859626 7512770 11719252 14649065 15025540 18781925 29298130 37563850 58596260 73245325 75127700 146490650 292981300 2201101121201 4402202242402 8804404484804 11005505606005 22011011212010 44022022424020 55027528030025 110055056060050 220110112120100