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31029330393 = 34174721012
BaseRepresentation
bin11100111001011111…
…100000000111011001
32222002111011022020000
4130321133200013121
51002022002033033
622131002123213
72145635646045
oct347137400731
988074138200
1031029330393
1112183280206
12601b7b0509
132c06701539
14170502d025
15c191a0a13
hex7397e01d9

31029330393 has 90 divisors (see below), whose sum is σ = 50646931038. Its totient is φ = 18866476800.

The previous prime is 31029330389. The next prime is 31029330403. The reversal of 31029330393 is 39303392013.

31029330393 is a `hidden beast` number, since 310 + 2 + 9 + 330 + 3 + 9 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 25296266304 + 5733064089 = 159048^2 + 75717^2 .

It is not a de Polignac number, because 31029330393 - 22 = 31029330389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31029330323) 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 89 ways as a sum of consecutive naturals, for example, 307221043 + ... + 307221143.

Almost surely, 231029330393 is an apocalyptic number.

It is an amenable number.

31029330393 is a deficient number, since it is larger than the sum of its proper divisors (19617600645).

31029330393 is an equidigital number, since it uses as much as digits as its factorization.

31029330393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 36.

The spelling of 31029330393 in words is "thirty-one billion, twenty-nine million, three hundred thirty thousand, three hundred ninety-three".

Divisors: 1 3 9 17 27 47 51 81 101 141 153 303 423 459 799 909 1269 1377 1717 2209 2397 2727 3807 4747 5151 6627 7191 8181 10201 14241 15453 19881 21573 30603 37553 42723 46359 59643 64719 80699 91809 112659 128169 139077 173417 178929 223109 242097 275427 337977 384507 479447 520251 669327 726291 826281 1013931 1438341 1560753 2007981 2178873 3041793 3792853 4315023 4682259 6023943 6536619 8150599 11378559 12945069 14046777 18071829 22534009 24451797 34135677 38835207 67602027 73355391 102407031 202806081 220066173 307221093 383078153 608418243 660198519 1149234459 1825254729 3447703377 10343110131 31029330393