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122145057 = 3347101953
BaseRepresentation
bin1110100011111…
…00100100100001
322111211121112000
413101330210201
5222232120212
620041554213
73012134016
oct721744441
9274747460
10122145057
1162a47431
1234aa5969
131c3c83a8
141231770d
15aacb1dc
hex747c921

122145057 has 32 divisors (see below), whose sum is σ = 186831360. Its totient is φ = 78825600.

The previous prime is 122145047. The next prime is 122145059. The reversal of 122145057 is 750541221.

It is not a de Polignac number, because 122145057 - 214 = 122128673 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 122145057.

It is not an unprimeable number, because it can be changed into a prime (122145059) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 127693 + ... + 128645.

It is an arithmetic number, because the mean of its divisors is an integer number (5838480).

Almost surely, 2122145057 is an apocalyptic number.

It is an amenable number.

122145057 is a deficient number, since it is larger than the sum of its proper divisors (64686303).

122145057 is a wasteful number, since it uses less digits than its factorization.

122145057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 122145057 is about 11051.9254883482. The cubic root of 122145057 is about 496.1640556538.

Adding to 122145057 its reverse (750541221), we get a palindrome (872686278).

It can be divided in two parts, 12214 and 5057, that added together give a palindrome (17271).

The spelling of 122145057 in words is "one hundred twenty-two million, one hundred forty-five thousand, fifty-seven".

Divisors: 1 3 9 27 47 101 141 303 423 909 953 1269 2727 2859 4747 8577 14241 25731 42723 44791 96253 128169 134373 288759 403119 866277 1209357 2598831 4523891 13571673 40715019 122145057