Search a number
-
+
122431144350 = 2352816207629
BaseRepresentation
bin111001000000101110…
…1110000000110011110
3102201000102210112120210
41302001131300012132
54001214333104400
6132124420153250
711562646361544
oct1620135600636
9381012715523
10122431144350
1147a17209929
121b889b38826
13b711a88b18
145cd6191d94
1532b862e950
hex1c8177019e

122431144350 has 24 divisors (see below), whose sum is σ = 303629238360. Its totient is φ = 32648305120.

The previous prime is 122431144337. The next prime is 122431144397. The reversal of 122431144350 is 53441134221.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 408103665 + ... + 408103964.

It is an arithmetic number, because the mean of its divisors is an integer number (12651218265).

Almost surely, 2122431144350 is an apocalyptic number.

122431144350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122431144350 is an abundant number, since it is smaller than the sum of its proper divisors (181198094010).

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

122431144350 is a wasteful number, since it uses less digits than its factorization.

122431144350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816207644 (or 816207639 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 122431144350 its reverse (53441134221), we get a palindrome (175872278571).

The spelling of 122431144350 in words is "one hundred twenty-two billion, four hundred thirty-one million, one hundred forty-four thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 816207629 1632415258 2448622887 4081038145 4897245774 8162076290 12243114435 20405190725 24486228870 40810381450 61215572175 122431144350