Search a number
-
+
124272272421 = 32114353550801
BaseRepresentation
bin111001110111100110…
…1000110010000100101
3102212202202012112111100
41303233031012100211
54014002200204141
6133031230030313
711656403613063
oct1635715062045
9385682175440
10124272272421
1148781504680
1220102648399
13b94634900b
14602c8d3033
1533750ae0b6
hex1cef346425

124272272421 has 48 divisors (see below), whose sum is σ = 204158066112. Its totient is φ = 72176832000.

The previous prime is 124272272393. The next prime is 124272272437.

124272272421 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 7 + 227 + 2 + 421 = 666.

124272272421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 124272272421 - 26 = 124272272357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124272272471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49780 + ... + 501021.

It is an arithmetic number, because the mean of its divisors is an integer number (4253293044).

Almost surely, 2124272272421 is an apocalyptic number.

124272272421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124272272421 is a deficient number, since it is larger than the sum of its proper divisors (79885793691).

124272272421 is a wasteful number, since it uses less digits than its factorization.

124272272421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550914 (or 550911 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

It can be divided in two parts, 124272 and 272421, that added together give a palindrome (396693).

The spelling of 124272272421 in words is "one hundred twenty-four billion, two hundred seventy-two million, two hundred seventy-two thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 43 53 99 129 159 387 473 477 583 1419 1749 2279 4257 5247 6837 20511 25069 75207 225621 550801 1652403 4957209 6058811 18176433 23684443 29192453 54529299 71053329 87577359 213159987 260528873 262732077 321116983 781586619 963350949 1255275479 2344759857 2890052847 3765826437 11297479311 13808030269 41424090807 124272272421