Search a number
-
+
122054148 = 22331130131
BaseRepresentation
bin1110100011001…
…10011000000100
322111122222211000
413101212120010
5222221213043
620040013300
73011304666
oct721463004
9274588730
10122054148
11629950a7
1234a61230
131c395bb8
14122d2536
15aaae2d3
hex7466604

122054148 has 24 divisors (see below), whose sum is σ = 316436960. Its totient is φ = 40684680.

The previous prime is 122054143. The next prime is 122054197. The reversal of 122054148 is 841450221.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (122054143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 564958 + ... + 565173.

Almost surely, 2122054148 is an apocalyptic number.

122054148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

122054148 is an abundant number, since it is smaller than the sum of its proper divisors (194382812).

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

122054148 is a wasteful number, since it uses less digits than its factorization.

122054148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130144 (or 1130136 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 122054148 is about 11047.8119100571. The cubic root of 122054148 is about 496.0409316290.

The spelling of 122054148 in words is "one hundred twenty-two million, fifty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1130131 2260262 3390393 4520524 6780786 10171179 13561572 20342358 30513537 40684716 61027074 122054148