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100101220 = 2256777393
BaseRepresentation
bin1011111011101…
…10110001100100
320222100200001121
411331312301210
5201111214340
613533303324
72323563202
oct575666144
9228320047
10100101220
115156058a
1229634b44
131797a8bb
14d41a072
158bc494a
hex5f76c64

100101220 has 24 divisors (see below), whose sum is σ = 210551544. Its totient is φ = 39975936.

The previous prime is 100101217. The next prime is 100101223. The reversal of 100101220 is 22101001.

It is an interprime number because it is at equal distance from previous prime (100101217) and next prime (100101223).

It can be written as a sum of positive squares in 4 ways, for example, as 22202944 + 77898276 = 4712^2 + 8826^2 .

It is not an unprimeable number, because it can be changed into a prime (100101223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9844 + ... + 17236.

It is an arithmetic number, because the mean of its divisors is an integer number (8772981).

Almost surely, 2100101220 is an apocalyptic number.

100101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101220 is an abundant number, since it is smaller than the sum of its proper divisors (110450324).

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

100101220 is a wasteful number, since it uses less digits than its factorization.

100101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079 (or 8077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 100101220 is about 10005.0597199617. The cubic root of 100101220 is about 464.3154377589.

Adding to 100101220 its reverse (22101001), we get a palindrome (122202221).

The spelling of 100101220 in words is "one hundred million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 677 1354 2708 3385 6770 7393 13540 14786 29572 36965 73930 147860 5005061 10010122 20020244 25025305 50050610 100101220