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100201311220 = 22541122196721
BaseRepresentation
bin101110101010001110…
…1101010101111110100
3100120122012110000022211
41131110131222233310
53120203013424340
6114010513503204
710145040043453
oct1352435525764
9316565400284
10100201311220
113954a03420a
1217505271b04
1395ab4357ca
144bc7aa4b9a
152916c525ea
hex175476abf4

100201311220 has 24 divisors (see below), whose sum is σ = 215555017608. Its totient is φ = 39102950400.

The previous prime is 100201311187. The next prime is 100201311233. The reversal of 100201311220 is 22113102001.

It can be written as a sum of positive squares in 4 ways, for example, as 5547866256 + 94653444964 = 74484^2 + 307658^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100201311220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61097541 + ... + 61099180.

It is an arithmetic number, because the mean of its divisors is an integer number (8981459067).

Almost surely, 2100201311220 is an apocalyptic number.

100201311220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201311220 is an abundant number, since it is smaller than the sum of its proper divisors (115353706388).

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

100201311220 is a wasteful number, since it uses less digits than its factorization.

100201311220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122196771 (or 122196769 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100201311220 its reverse (22113102001), we get a palindrome (122314413221).

The spelling of 100201311220 in words is "one hundred billion, two hundred one million, three hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 122196721 244393442 488786884 610983605 1221967210 2443934420 5010065561 10020131122 20040262244 25050327805 50100655610 100201311220