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202220112000100 = 225213115436649771
BaseRepresentation
bin101101111110101100001001…
…111100010011010001100100
3222112000001110022001001112111
4231332230021330103101210
5203001133242133000400
61554030345330330404
760410630614045435
oct5576541174232144
9875001408031474
10202220112000100
11594850823a1717
121a81b742429a04
1388ab3757a289c
1437d17116b348c
15185a320ed23ba
hexb7eb09f13464

202220112000100 has 36 divisors (see below), whose sum is σ = 442167396069168. Its totient is φ = 80270578804000.

The previous prime is 202220112000091. The next prime is 202220112000103. The reversal of 202220112000100 is 1000211022202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202220112000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7718311786 + ... + 7718337985.

It is an arithmetic number, because the mean of its divisors is an integer number (12282427668588).

Almost surely, 2202220112000100 is an apocalyptic number.

202220112000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220112000100 is an abundant number, since it is smaller than the sum of its proper divisors (239947284069068).

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

202220112000100 is a wasteful number, since it uses less digits than its factorization.

202220112000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15436649916 (or 15436649909 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202220112000100 its reverse (1000211022202), we get a palindrome (203220323022302).

The spelling of 202220112000100 in words is "two hundred two trillion, two hundred twenty billion, one hundred twelve million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 131 262 524 655 1310 2620 3275 6550 13100 15436649771 30873299542 61746599084 77183248855 154366497710 308732995420 385916244275 771832488550 1543664977100 2022201120001 4044402240002 8088804480004 10111005600005 20222011200010 40444022400020 50555028000025 101110056000050 202220112000100