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220010112022100 = 22527618093573629
BaseRepresentation
bin110010000001100100011000…
…100100101111011001010100
31001211222202112222122111210012
4302001210120210233121110
5212314121202134201400
62055531130011215352
764225130450164421
oct6201443044573124
91054882488574705
10220010112022100
1164113845648244
1220813525447558
13959bb3152293a
143c48790c44d48
151a67e7ba5ed35
hexc8191892f654

220010112022100 has 72 divisors (see below), whose sum is σ = 478640352166200. Its totient is φ = 87779739289600.

The previous prime is 220010112022091. The next prime is 220010112022187. The reversal of 220010112022100 is 1220211010022.

It can be written as a sum of positive squares in 12 ways, for example, as 39920207243536 + 180089904778564 = 6318244^2 + 13419758^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59778086 + ... + 63351714.

It is an arithmetic number, because the mean of its divisors is an integer number (6647782668975).

Almost surely, 2220010112022100 is an apocalyptic number.

220010112022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220010112022100 is an abundant number, since it is smaller than the sum of its proper divisors (258630240144100).

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

220010112022100 is a wasteful number, since it uses less digits than its factorization.

220010112022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3575213 (or 3575206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 220010112022100 its reverse (1220211010022), we get a palindrome (221230323032122).

The spelling of 220010112022100 in words is "two hundred twenty trillion, ten billion, one hundred twelve million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 761 809 1522 1618 3044 3236 3805 4045 7610 8090 15220 16180 19025 20225 38050 40450 76100 80900 615649 1231298 2462596 3078245 3573629 6156490 7147258 12312980 14294516 15391225 17868145 30782450 35736290 61564900 71472580 89340725 178681450 357362900 2719531669 2891065861 5439063338 5782131722 10878126676 11564263444 13597658345 14455329305 27195316690 28910658610 54390633380 57821317220 67988291725 72276646525 135976583450 144553293050 271953166900 289106586100 2200101120221 4400202240442 8800404480884 11000505601105 22001011202210 44002022404420 55002528005525 110005056011050 220010112022100