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122105421 = 3341731511
BaseRepresentation
bin1110100011100…
…10111001001101
322111202121011000
413101302321031
5222224333141
620041050513
73011610324
oct721627115
9274677130
10122105421
1162a1a679
1234a86a39
131c3b3339
14123070bb
15aabe5b6
hex7472e4d

122105421 has 32 divisors (see below), whose sum is σ = 187971840. Its totient is φ = 78278400.

The previous prime is 122105393. The next prime is 122105429. The reversal of 122105421 is 124501221.

122105421 is a `hidden beast` number, since 122 + 1 + 0 + 542 + 1 = 666.

It is not a de Polignac number, because 122105421 - 29 = 122104909 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 122105394 and 122105403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122105429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80056 + ... + 81566.

It is an arithmetic number, because the mean of its divisors is an integer number (5874120).

Almost surely, 2122105421 is an apocalyptic number.

It is an amenable number.

122105421 is a deficient number, since it is larger than the sum of its proper divisors (65866419).

122105421 is a wasteful number, since it uses less digits than its factorization.

122105421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 122105421 is about 11050.1321711552. The cubic root of 122105421 is about 496.1103815317.

Adding to 122105421 its reverse (124501221), we get a palindrome (246606642).

The spelling of 122105421 in words is "one hundred twenty-two million, one hundred five thousand, four hundred twenty-one".

Divisors: 1 3 9 27 41 73 123 219 369 657 1107 1511 1971 2993 4533 8979 13599 26937 40797 61951 80811 110303 185853 330909 557559 992727 1672677 2978181 4522423 13567269 40701807 122105421