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100001201220 = 22325555562229
BaseRepresentation
bin101110100100010001…
…0010011110001000100
3100120010020220101000100
41131020202103301010
53114300301414340
6113535004444100
710140060120414
oct1351042236104
9316106811010
10100001201220
1139457086648
121746a249630
139578b4041b
144ba9294644
1529043c5830
hex1748893c44

100001201220 has 36 divisors (see below), whose sum is σ = 303336977580. Its totient is φ = 26666986944.

The previous prime is 100001201189. The next prime is 100001201257. The reversal of 100001201220 is 22102100001.

It can be written as a sum of positive squares in 2 ways, for example, as 29721070404 + 70280130816 = 172398^2 + 265104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 277780935 + ... + 277781294.

It is an arithmetic number, because the mean of its divisors is an integer number (8426027155).

Almost surely, 2100001201220 is an apocalyptic number.

100001201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001201220 is an abundant number, since it is smaller than the sum of its proper divisors (203335776360).

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

100001201220 is a wasteful number, since it uses less digits than its factorization.

100001201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555562244 (or 555562239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100001201220 its reverse (22102100001), we get a palindrome (122103301221).

The spelling of 100001201220 in words is "one hundred billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 555562229 1111124458 1666686687 2222248916 2777811145 3333373374 5000060061 5555622290 6666746748 8333433435 10000120122 11111244580 16666866870 20000240244 25000300305 33333733740 50000600610 100001201220