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122100221 = 8311291303
BaseRepresentation
bin1110100011100…
…01100111111101
322111202100000102
413101301213331
5222224201341
620041010445
73011556215
oct721614775
9274670012
10122100221
1162a16781
1234a83a25
131c3b0b69
1412305245
15aabcc9b
hex74719fd

122100221 has 8 divisors (see below), whose sum is σ = 123775680. Its totient is φ = 120429792.

The previous prime is 122100211. The next prime is 122100233. The reversal of 122100221 is 122001221.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122100221 - 26 = 122100157 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93056 + ... + 94358.

It is an arithmetic number, because the mean of its divisors is an integer number (15471960).

Almost surely, 2122100221 is an apocalyptic number.

It is an amenable number.

122100221 is a deficient number, since it is larger than the sum of its proper divisors (1675459).

122100221 is a wasteful number, since it uses less digits than its factorization.

122100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515.

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 122100221 is about 11049.8968773469. The cubic root of 122100221 is about 496.1033389544.

Adding to 122100221 its reverse (122001221), we get a palindrome (244101442).

The spelling of 122100221 in words is "one hundred twenty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 83 1129 1303 93707 108149 1471087 122100221