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2130231334333 = 1741611091732657
BaseRepresentation
bin11110111111111011101…
…011101001010110111101
321112122111111002002122011
4132333323223221112331
5234400203210144313
64310340442251221
7306622055403364
oct36777353512675
97478444062564
102130231334333
11751476064913
122a4a2a1b6b11
13125b5934460b
14751649767db
153a62b2d993d
hex1effbae95bd

2130231334333 has 64 divisors (see below), whose sum is σ = 2384571752640. Its totient is φ = 1894573670400.

The previous prime is 2130231334307. The next prime is 2130231334351. The reversal of 2130231334333 is 3334331320312.

It can be written as a sum of positive squares in 32 ways, for example, as 1103419991844 + 1026811342489 = 1050438^2 + 1013317^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130231334333 - 233 = 2121641399741 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2130231334295 and 2130231334304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2130231334373) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 801741741 + ... + 801744397.

It is an arithmetic number, because the mean of its divisors is an integer number (37258933635).

Almost surely, 22130231334333 is an apocalyptic number.

It is an amenable number.

2130231334333 is a deficient number, since it is larger than the sum of its proper divisors (254340418307).

2130231334333 is a wasteful number, since it uses less digits than its factorization.

2130231334333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3058.

The product of its (nonzero) digits is 34992, while the sum is 31.

Adding to 2130231334333 its reverse (3334331320312), we get a palindrome (5464562654645).

The spelling of 2130231334333 in words is "two trillion, one hundred thirty billion, two hundred thirty-one million, three hundred thirty-four thousand, three hundred thirty-three".

Divisors: 1 17 41 61 109 173 697 1037 1853 2501 2657 2941 4469 6649 7093 10553 18857 42517 45169 75973 108937 113033 120581 162077 179401 272609 289613 320569 432673 459661 773137 1150277 1851929 2755309 4634353 4923421 6645157 7355441 7814237 11874133 13143329 17666393 18846101 19554709 28039321 47161357 50103049 112967669 201860261 300328681 320383717 476668457 724322113 801743069 851751833 1149612161 2054225009 3056285989 12313475921 19543406737 34921825153 51956861813 125307725549 2130231334333