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122080149 = 3319237973
BaseRepresentation
bin1110100011011…
…00101110010101
322111201022111000
413101230232111
5222223031044
620040333513
73011443542
oct721545625
9274638430
10122080149
1162a02694
1234a74299
131c3a4999
14122dbbc9
15aab6d69
hex746cb95

122080149 has 16 divisors (see below), whose sum is σ = 190379200. Its totient is φ = 77102928.

The previous prime is 122080141. The next prime is 122080157. The reversal of 122080149 is 941080221.

It is an interprime number because it is at equal distance from previous prime (122080141) and next prime (122080157).

It is not a de Polignac number, because 122080149 - 23 = 122080141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122080141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118474 + ... + 119499.

It is an arithmetic number, because the mean of its divisors is an integer number (11898700).

Almost surely, 2122080149 is an apocalyptic number.

122080149 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

122080149 is a deficient number, since it is larger than the sum of its proper divisors (68299051).

122080149 is a wasteful number, since it uses less digits than its factorization.

122080149 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238001 (or 237995 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122080149 is about 11048.9885962472. The cubic root of 122080149 is about 496.0761527303.

The spelling of 122080149 in words is "one hundred twenty-two million, eighty thousand, one hundred forty-nine".

Divisors: 1 3 9 19 27 57 171 513 237973 713919 2141757 4521487 6425271 13564461 40693383 122080149