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122113665 = 3251927517
BaseRepresentation
bin1110100011101…
…00111010000001
322111210000110100
413101310322001
5222230114130
620041153013
73011643342
oct721647201
9274700410
10122113665
1162a25893
1234a8b769
131c3b700b
141230a0c9
15aac1c60
hex7474e81

122113665 has 36 divisors (see below), whose sum is σ = 223419924. Its totient is φ = 61691328.

The previous prime is 122113633. The next prime is 122113687. The reversal of 122113665 is 566311221.

It can be written as a sum of positive squares in 2 ways, for example, as 84217329 + 37896336 = 9177^2 + 6156^2 .

It is not a de Polignac number, because 122113665 - 25 = 122113633 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12487 + ... + 20003.

It is an arithmetic number, because the mean of its divisors is an integer number (6206109).

Almost surely, 2122113665 is an apocalyptic number.

122113665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122113665 is a deficient number, since it is larger than the sum of its proper divisors (101306259).

122113665 is a wasteful number, since it uses less digits than its factorization.

122113665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7544 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 122113665 is about 11050.5051920715. The cubic root of 122113665 is about 496.1215463157.

Adding to 122113665 its reverse (566311221), we get a palindrome (688424886).

It can be divided in two parts, 12211 and 3665, that added together give a square (15876 = 1262).

The spelling of 122113665 in words is "one hundred twenty-two million, one hundred thirteen thousand, six hundred sixty-five".

Divisors: 1 3 5 9 15 19 45 57 95 171 285 361 855 1083 1805 3249 5415 7517 16245 22551 37585 67653 112755 142823 338265 428469 714115 1285407 2142345 2713637 6427035 8140911 13568185 24422733 40704555 122113665