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122142924 = 22331130953
BaseRepresentation
bin1110100011111…
…00000011001100
322111211111121000
413101330003030
5222232033144
620041540300
73012124551
oct721740314
9274744530
10122142924
1162a45872
1234aa4690
131c3c7427
1412316a28
15aaca769
hex747c0cc

122142924 has 24 divisors (see below), whose sum is σ = 316667120. Its totient is φ = 40714272.

The previous prime is 122142907. The next prime is 122142971. The reversal of 122142924 is 429241221.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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 7 ways as a sum of consecutive naturals, for example, 565369 + ... + 565584.

Almost surely, 2122142924 is an apocalyptic number.

It is an amenable number.

122142924 is an abundant number, since it is smaller than the sum of its proper divisors (194524196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122142924 is a wasteful number, since it uses less digits than its factorization.

122142924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130966 (or 1130958 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 122142924 is about 11051.8289889050. The cubic root of 122142924 is about 496.1611674919.

The spelling of 122142924 in words is "one hundred twenty-two million, one hundred forty-two thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1130953 2261906 3392859 4523812 6785718 10178577 13571436 20357154 30535731 40714308 61071462 122142924