Search a number
-
+
42255221130 = 23351131384963
BaseRepresentation
bin100111010110100110…
…111000000110001010
311001001211122122022000
4213112212320012022
51143014314034010
631224540011430
73024060311343
oct472646700612
9131054578260
1042255221130
1116a13a75061
128233230b76
133ca5379935
14208bd010ca
1511749b07c0
hex9d69b818a

42255221130 has 64 divisors (see below), whose sum is σ = 113677845120. Its totient is φ = 11168333568.

The previous prime is 42255221101. The next prime is 42255221153. The reversal of 42255221130 is 3112255224.

42255221130 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 522 + 1 + 130 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 42255221094 and 42255221103.

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 31 ways as a sum of consecutive naturals, for example, 661972 + ... + 722991.

It is an arithmetic number, because the mean of its divisors is an integer number (1776216330).

Almost surely, 242255221130 is an apocalyptic number.

42255221130 is an abundant number, since it is smaller than the sum of its proper divisors (71422623990).

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

42255221130 is a wasteful number, since it uses less digits than its factorization.

42255221130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385092 (or 1385086 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 42255221130 its reverse (3112255224), we get a palindrome (45367476354).

The spelling of 42255221130 in words is "forty-two billion, two hundred fifty-five million, two hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 113 135 226 270 339 565 678 1017 1130 1695 2034 3051 3390 5085 6102 10170 15255 30510 1384963 2769926 4154889 6924815 8309778 12464667 13849630 20774445 24929334 37394001 41548890 62323335 74788002 124646670 156500819 186970005 313001638 373940010 469502457 782504095 939004914 1408507371 1565008190 2347512285 2817014742 4225522113 4695024570 7042536855 8451044226 14085073710 21127610565 42255221130