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22112220100 = 2252534172117
BaseRepresentation
bin10100100101111111…
…011011001111000100
32010002001001011111211
4110211333123033010
5330241212020400
614054101341204
71411650524665
oct244577331704
963061034454
1022112220100
119417854273
124351407804
132115183a09
1410daa3336c
158963e8dba
hex525fdb3c4

22112220100 has 36 divisors (see below), whose sum is σ = 48888878724. Its totient is φ = 8678001280.

The previous prime is 22112220043. The next prime is 22112220107. The reversal of 22112220100 is 102221122.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 960008256 + 21152211844 = 30984^2 + 145438^2 .

It is not an unprimeable number, because it can be changed into a prime (22112220107) 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, 2080759 + ... + 2091358.

It is an arithmetic number, because the mean of its divisors is an integer number (1358024409).

Almost surely, 222112220100 is an apocalyptic number.

22112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22112220100 is an abundant number, since it is smaller than the sum of its proper divisors (26776658624).

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

22112220100 is a wasteful number, since it uses less digits than its factorization.

22112220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4172184 (or 4172177 counting only the distinct ones).

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

Adding to 22112220100 its reverse (102221122), we get a palindrome (22214441222).

The spelling of 22112220100 in words is "twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 4172117 8344234 16688468 20860585 41721170 83442340 104302925 208605850 221122201 417211700 442244402 884488804 1105611005 2211222010 4422444020 5528055025 11056110050 22112220100