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100120221 = 32107103967
BaseRepresentation
bin1011111011110…
…11011010011101
320222101122010100
411331323122131
5201112321341
613533531313
72324002455
oct575733235
9228348110
10100120221
1151573893
1229643b39
1317986446
14d422d65
158bca3b6
hex5f7b69d

100120221 has 12 divisors (see below), whose sum is σ = 145971072. Its totient is φ = 66122376.

The previous prime is 100120213. The next prime is 100120231. The reversal of 100120221 is 122021001.

It is not a de Polignac number, because 100120221 - 23 = 100120213 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51021 + ... + 52946.

It is an arithmetic number, because the mean of its divisors is an integer number (12164256).

Almost surely, 2100120221 is an apocalyptic number.

It is an amenable number.

100120221 is a deficient number, since it is larger than the sum of its proper divisors (45850851).

100120221 is a wasteful number, since it uses less digits than its factorization.

100120221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104080 (or 104077 counting only the distinct ones).

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

The square root of 100120221 is about 10006.0092444491. The cubic root of 100120221 is about 464.3448143555.

Adding to 100120221 its reverse (122021001), we get a palindrome (222141222).

The spelling of 100120221 in words is "one hundred million, one hundred twenty thousand, two hundred twenty-one".

Divisors: 1 3 9 107 321 963 103967 311901 935703 11124469 33373407 100120221