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22200210100100 = 2252222002101001
BaseRepresentation
bin1010000110000111000111…
…01000110000111110000100
32220121022121210221020021102
411003003203220300332010
510402212012241200400
6115114345152235232
74450624621215464
oct503034350607604
986538553836242
1022200210100100
11708a06893036a
1225a667153bb18
13c50617549856
1456a6d2a7dba4
152877299899d5
hex1430e3a30f84

22200210100100 has 18 divisors (see below), whose sum is σ = 48174455917434. Its totient is φ = 8880084040000.

The previous prime is 22200210100087. The next prime is 22200210100153. The reversal of 22200210100100 is 100101200222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1657466944 + 22198552633156 = 40712^2 + 4711534^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111001050401 + ... + 111001050600.

Almost surely, 222200210100100 is an apocalyptic number.

22200210100100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200210100100 is an abundant number, since it is smaller than the sum of its proper divisors (25974245817334).

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

22200210100100 is a wasteful number, since it uses less digits than its factorization.

22200210100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222002101015 (or 222002101008 counting only the distinct ones).

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

Adding to 22200210100100 its reverse (100101200222), we get a palindrome (22300311300322).

The spelling of 22200210100100 in words is "twenty-two trillion, two hundred billion, two hundred ten million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222002101001 444004202002 888008404004 1110010505005 2220021010010 4440042020020 5550052525025 11100105050050 22200210100100