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120222000100 = 22522295249869
BaseRepresentation
bin110111111110111001…
…0100010001111100100
3102111022110220101101101
41233331302202033210
53432203313000400
6131121302405444
711454133066006
oct1577562421744
9374273811341
10120222000100
1146a93204084
121b372130884
13b44c1a5287
145b66a14376
1531d970856a
hex1bfdca23e4

120222000100 has 36 divisors (see below), whose sum is σ = 262021011700. Its totient is φ = 47878796160.

The previous prime is 120222000047. The next prime is 120222000127. The reversal of 120222000100 is 1000222021.

It can be written as a sum of positive squares in 6 ways, for example, as 14210547264 + 106011452836 = 119208^2 + 325594^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2602035 + ... + 2647834.

Almost surely, 2120222000100 is an apocalyptic number.

120222000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120222000100 is an abundant number, since it is smaller than the sum of its proper divisors (141799011600).

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

120222000100 is a wasteful number, since it uses less digits than its factorization.

120222000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5250112 (or 5250105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 120222000100 its reverse (1000222021), we get a palindrome (121222222121).

The spelling of 120222000100 in words is "one hundred twenty billion, two hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 229 458 916 1145 2290 4580 5725 11450 22900 5249869 10499738 20999476 26249345 52498690 104997380 131246725 262493450 524986900 1202220001 2404440002 4808880004 6011100005 12022200010 24044400020 30055500025 60111000050 120222000100