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100201220 = 22571076689
BaseRepresentation
bin1011111100011…
…11001100000100
320222112202020022
411332033030010
5201122414340
613535354312
72324460560
oct576171404
9228482208
10100201220
1151619729
1229682998
13179b4282
14d4446a0
158be43b5
hex5f8f304

100201220 has 48 divisors (see below), whose sum is σ = 242766720. Its totient is φ = 34028544.

The previous prime is 100201201. The next prime is 100201229. The reversal of 100201220 is 22102001.

It is a junction number, because it is equal to n+sod(n) for n = 100201198 and 100201207.

It is not an unprimeable number, because it can be changed into a prime (100201229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11636 + ... + 18324.

It is an arithmetic number, because the mean of its divisors is an integer number (5057640).

Almost surely, 2100201220 is an apocalyptic number.

100201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121383360).

100201220 is an abundant number, since it is smaller than the sum of its proper divisors (142565500).

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

100201220 is a wasteful number, since it uses less digits than its factorization.

100201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6812 (or 6810 counting only the distinct ones).

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

The square root of 100201220 is about 10010.0559438996. The cubic root of 100201220 is about 464.4700016121.

Adding to 100201220 its reverse (22102001), we get a palindrome (122303221).

The spelling of 100201220 in words is "one hundred million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 107 140 214 428 535 749 1070 1498 2140 2996 3745 6689 7490 13378 14980 26756 33445 46823 66890 93646 133780 187292 234115 468230 715723 936460 1431446 2862892 3578615 5010061 7157230 10020122 14314460 20040244 25050305 50100610 100201220