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33130233200033 = 371974895392849
BaseRepresentation
bin1111000100001101110111…
…10001111111110110100001
311100022012220220201001212022
413202012323301333312201
513320301204144400113
6154243452524111225
76656403030522164
oct742067361776641
9140265826631768
1033130233200033
11a6134a8a35562
123870a40095515
131564224253658
148277246d3adb
153c6bd7a97908
hex1e21bbc7fda1

33130233200033 has 16 divisors (see below), whose sum is σ = 34199430843600. Its totient is φ = 32070192408576.

The previous prime is 33130233200017. The next prime is 33130233200131. The reversal of 33130233200033 is 33000233203133.

It can be written as a sum of positive squares in 8 ways, for example, as 5741161029184 + 27389072170849 = 2396072^2 + 5233457^2 .

It is a cyclic number.

It is not a de Polignac number, because 33130233200033 - 24 = 33130233200017 is a prime.

It is a super-2 number, since 2×331302332000332 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 33130233199975 and 33130233200011.

It is not an unprimeable number, because it can be changed into a prime (33130233205033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356771993 + ... + 356864841.

It is an arithmetic number, because the mean of its divisors is an integer number (2137464427725).

Almost surely, 233130233200033 is an apocalyptic number.

It is an amenable number.

33130233200033 is a deficient number, since it is larger than the sum of its proper divisors (1069197643567).

33130233200033 is a wasteful number, since it uses less digits than its factorization.

33130233200033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142036.

The product of its (nonzero) digits is 8748, while the sum is 26.

Adding to 33130233200033 its reverse (33000233203133), we get a palindrome (66130466403166).

The spelling of 33130233200033 in words is "thirty-three trillion, one hundred thirty billion, two hundred thirty-three million, two hundred thousand, thirty-three".

Divisors: 1 37 197 7289 48953 92849 1811261 3435413 9643741 18291253 356818417 676776361 4545237097 168173772589 895411708109 33130233200033