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22100210120 = 2351735579137
BaseRepresentation
bin10100100101010001…
…100111000111001000
32010001012102222220202
4110211101213013020
5330230123210440
614052552111332
71411443454322
oct244521470710
963035388822
1022100210120
119410aa0a6a
124349395548
13211283a311
1410d91c8612
15895325615
hex5254671c8

22100210120 has 64 divisors (see below), whose sum is σ = 52671066480. Its totient is φ = 8316829696.

The previous prime is 22100210087. The next prime is 22100210179. The reversal of 22100210120 is 2101200122.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2023020484 + 20077189636 = 44978^2 + 141694^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2414192 + ... + 2423328.

Almost surely, 222100210120 is an apocalyptic number.

22100210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22100210120 is an abundant number, since it is smaller than the sum of its proper divisors (30570856360).

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

22100210120 is a wasteful number, since it uses less digits than its factorization.

22100210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12722 (or 12718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 22100210120 its reverse (2101200122), we get a palindrome (24201410242).

The spelling of 22100210120 in words is "twenty-two billion, one hundred million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 3557 7114 9137 14228 17785 18274 28456 35570 36548 45685 60469 71140 73096 91370 120938 142280 155329 182740 241876 302345 310658 365480 483752 604690 621316 776645 1209380 1242632 1553290 2418760 3106580 6213160 32500309 65000618 130001236 162501545 260002472 325003090 552505253 650006180 1105010506 1300012360 2210021012 2762526265 4420042024 5525052530 11050105060 22100210120