Search a number
-
+
33113013112231 = 1352328031737523
BaseRepresentation
bin1111000011101101110010…
…11000100100110110100111
311100020120110211001222020121
413201312321120210312213
513320010422324042411
6154231524101542411
76655223222300443
oct741667130446647
9140216424058217
1033113013112231
11a607171713738
123869635114a07
13156270b7918a0
1482696d6c3823
153c652ade9571
hex1e1db9624da7

33113013112231 has 16 divisors (see below), whose sum is σ = 35741118883456. Its totient is φ = 30496513538016.

The previous prime is 33113013112079. The next prime is 33113013112259. The reversal of 33113013112231 is 13221131031133.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33113013112231 is a prime.

It is a super-3 number, since 3×331130131122313 (a number of 42 digits) contains 333 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 = 33113013112196 and 33113013112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33113013112261) 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, 18188836 + ... + 19926358.

It is an arithmetic number, because the mean of its divisors is an integer number (2233819930216).

Almost surely, 233113013112231 is an apocalyptic number.

33113013112231 is a deficient number, since it is larger than the sum of its proper divisors (2628105771225).

33113013112231 is a wasteful number, since it uses less digits than its factorization.

33113013112231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740862.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 33113013112231 its reverse (13221131031133), we get a palindrome (46334144143364).

The spelling of 33113013112231 in words is "thirty-three trillion, one hundred thirteen billion, thirteen million, one hundred twelve thousand, two hundred thirty-one".

Divisors: 1 13 523 2803 6799 36439 1465969 1737523 19057597 22587799 908724529 4870276969 11813418877 63313600597 2547154854787 33113013112231