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232341002343331 = 74147131933913851
BaseRepresentation
bin110100110101000000011010…
…111010010101001110100011
31010110122120201221020112211021
4310311000122322111032203
5220423133333044441311
62142051552153230311
766640040426426140
oct6465003272251643
91113576657215737
10232341002343331
11680382a1783942
12220852ab702397
139c8487c6c12bb
14415351632b3c7
151bcdac8ed2171
hexd3501ae953a3

232341002343331 has 64 divisors (see below), whose sum is σ = 278161210736640. Its totient is φ = 189908722080000.

The previous prime is 232341002343319. The next prime is 232341002343371. The reversal of 232341002343331 is 133343200143232.

It is a happy number.

It is not a de Polignac number, because 232341002343331 - 25 = 232341002343299 is a prime.

It is a super-2 number, since 2×2323410023433312 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232341002343311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60332639556 + ... + 60332643406.

It is an arithmetic number, because the mean of its divisors is an integer number (4346268917760).

Almost surely, 2232341002343331 is an apocalyptic number.

232341002343331 is a deficient number, since it is larger than the sum of its proper divisors (45820208393309).

232341002343331 is a wasteful number, since it uses less digits than its factorization.

232341002343331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8656.

The product of its (nonzero) digits is 93312, while the sum is 34.

Adding to 232341002343331 its reverse (133343200143232), we get a palindrome (365684202486563).

The spelling of 232341002343331 in words is "two hundred thirty-two trillion, three hundred forty-one billion, two million, three hundred forty-three thousand, three hundred thirty-one".

Divisors: 1 7 41 47 287 329 1319 1927 3391 3851 9233 13489 23737 26957 54079 61993 139031 157891 159377 180997 378553 433951 973217 1105237 1115639 1266979 2541713 4472729 5079469 6534457 7420877 13058741 17791991 31309103 35556283 45741199 51946139 91411187 183381889 208258229 210218263 238735043 535408381 613760827 1283673223 1457807603 1471527841 1671145301 3747858667 4296325789 8618948783 9788136763 17224479379 25164193907 60332641481 68516957341 120571355653 176149357349 706203654539 809550530813 4943425581773 5666853715691 33191571763333 232341002343331