Search a number
-
+
30424142331 = 321119231674211
BaseRepresentation
bin11100010101011010…
…111001000111111011
32220112022101120021100
4130111122321013323
5444302040023311
621550542542443
72124636641262
oct342532710773
986468346240
1030424142331
11119a26a9490
125a90b97a23
132b3b20a3ab
1416888d55d9
15bd0eaaa56
hex7156b91fb

30424142331 has 96 divisors (see below), whose sum is σ = 52986286080. Its totient is φ = 16604913600.

The previous prime is 30424142323. The next prime is 30424142341. The reversal of 30424142331 is 13324142403.

30424142331 is a `hidden beast` number, since 3 + 0 + 424 + 1 + 4 + 233 + 1 = 666.

It is not a de Polignac number, because 30424142331 - 23 = 30424142323 is a prime.

It is a super-2 number, since 2×304241423312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30424142295 and 30424142304.

It is not an unprimeable number, because it can be changed into a prime (30424142321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7222816 + ... + 7227026.

It is an arithmetic number, because the mean of its divisors is an integer number (551940480).

Almost surely, 230424142331 is an apocalyptic number.

30424142331 is a deficient number, since it is larger than the sum of its proper divisors (22562143749).

30424142331 is a wasteful number, since it uses less digits than its factorization.

30424142331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437 (or 4434 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 30424142331 its reverse (13324142403), we get a palindrome (43748284734).

The spelling of 30424142331 in words is "thirty billion, four hundred twenty-four million, one hundred forty-two thousand, three hundred thirty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 167 171 207 209 253 437 501 627 759 1311 1503 1837 1881 2277 3173 3841 3933 4211 4807 5511 9519 11523 12633 14421 16533 28557 34569 34903 37899 42251 43263 46321 72979 80009 96853 104709 126753 138963 218937 240027 290559 314127 380259 416889 656811 703237 720081 802769 871677 880099 1065383 1840207 2109711 2408307 2640297 3196149 5520621 6329133 7224921 7735607 7920891 9588447 13361503 16174451 16561863 20242277 23206821 40084509 48523353 60726831 69620463 120253527 145570059 146976533 177918961 182180493 307314569 440929599 533756883 921943707 1322788797 1601270649 2765831121 3380460259 10141380777 30424142331