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113331310033 = 1716739919447
BaseRepresentation
bin110100110001100010…
…0101000110111010001
3101211112020212001122011
41221203010220313101
53324100303410113
6124021431142521
711121312145414
oct1514304506721
9354466761564
10113331310033
114407762a6a7
1219b6a514a41
13a8c1722586
1456b17cdb7b
152e347d263d
hex1a63128dd1

113331310033 has 8 divisors (see below), whose sum is σ = 120716410752. Its totient is φ = 106026048576.

The previous prime is 113331310021. The next prime is 113331310091. The reversal of 113331310033 is 330013133311.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 113331310033 - 221 = 113329212881 is a prime.

It is a super-4 number, since 4×1133313100334 (a number of 45 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 113331309986 and 113331310013.

It is not an unprimeable number, because it can be changed into a prime (113331310133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19956885 + ... + 19962562.

It is an arithmetic number, because the mean of its divisors is an integer number (15089551344).

Almost surely, 2113331310033 is an apocalyptic number.

It is an amenable number.

113331310033 is a deficient number, since it is larger than the sum of its proper divisors (7385100719).

113331310033 is a wasteful number, since it uses less digits than its factorization.

113331310033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39919631.

The product of its (nonzero) digits is 729, while the sum is 22.

Adding to 113331310033 its reverse (330013133311), we get a palindrome (443344443344).

The spelling of 113331310033 in words is "one hundred thirteen billion, three hundred thirty-one million, three hundred ten thousand, thirty-three".

Divisors: 1 17 167 2839 39919447 678630599 6666547649 113331310033