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22201212100 = 2252222012121
BaseRepresentation
bin10100101011010010…
…111001110011000100
32010022020111102120211
4110223102321303010
5330432002241400
614111001005204
71414111121614
oct245322716304
963266442524
1022201212100
119463007281
124377183804
13212a741bc2
14110879aa44
1589e126dba
hex52b4b9cc4

22201212100 has 18 divisors (see below), whose sum is σ = 48176630474. Its totient is φ = 8880484800.

The previous prime is 22201212053. The next prime is 22201212107. The reversal of 22201212100 is 121210222.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6779546244 + 15421665856 = 82338^2 + 124184^2 .

It is not an unprimeable number, because it can be changed into a prime (22201212107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 111005961 + ... + 111006160.

Almost surely, 222201212100 is an apocalyptic number.

22201212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22201212100 is an abundant number, since it is smaller than the sum of its proper divisors (25975418374).

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

22201212100 is a wasteful number, since it uses less digits than its factorization.

22201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222012135 (or 222012128 counting only the distinct ones).

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

Adding to 22201212100 its reverse (121210222), we get a palindrome (22322422322).

The spelling of 22201212100 in words is "twenty-two billion, two hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 222012121 444024242 888048484 1110060605 2220121210 4440242420 5550303025 11100606050 22201212100