Search a number
-
+
122100144 = 2432543753
BaseRepresentation
bin1110100011100…
…01100110110000
322111202022220120
413101301212300
5222224201034
620041010240
73011556045
oct721614660
9274668816
10122100144
1162a16711
1234a83980
131c3b0b0a
14123051cc
15aabcc49
hex74719b0

122100144 has 20 divisors (see below), whose sum is σ = 315425496. Its totient is φ = 40700032.

The previous prime is 122100133. The next prime is 122100149. The reversal of 122100144 is 441001221.

It is not an unprimeable number, because it can be changed into a prime (122100149) 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 3 ways as a sum of consecutive naturals, for example, 1271829 + ... + 1271924.

Almost surely, 2122100144 is an apocalyptic number.

It is an amenable number.

122100144 is an abundant number, since it is smaller than the sum of its proper divisors (193325352).

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

122100144 is a wasteful number, since it uses less digits than its factorization.

122100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543764 (or 2543758 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 122100144 is about 11049.8933931509. The cubic root of 122100144 is about 496.1032346686.

Adding to 122100144 its reverse (441001221), we get a palindrome (563101365).

The spelling of 122100144 in words is "one hundred twenty-two million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 2543753 5087506 7631259 10175012 15262518 20350024 30525036 40700048 61050072 122100144