Search a number
-
+
33033342242031 = 3171427453898103
BaseRepresentation
bin1111000001011001011001…
…01000010100110011101111
311022221221211102021102110020
413200230230220110303233
513312204241103221111
6154131150302413223
76646403005131105
oct740545450246357
9138857742242406
1033033342242031
11a5863a857775a
1238560bb591213
1315580528b6741
14822b72541c75
153c4416790906
hex1e0b2ca14cef

33033342242031 has 16 divisors (see below), whose sum is σ = 46667987460864. Its totient is φ = 20712278190464.

The previous prime is 33033342241961. The next prime is 33033342242041. The reversal of 33033342242031 is 13024224333033.

It is a cyclic number.

It is not a de Polignac number, because 33033342242031 - 226 = 33033275133167 is a prime.

It is a super-2 number, since 2×330333422420312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33033342241983 and 33033342242001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33033342242041) 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 15 ways as a sum of consecutive naturals, for example, 226876275 + ... + 227021828.

It is an arithmetic number, because the mean of its divisors is an integer number (2916749216304).

Almost surely, 233033342242031 is an apocalyptic number.

33033342242031 is a deficient number, since it is larger than the sum of its proper divisors (13634645218833).

33033342242031 is a wasteful number, since it uses less digits than its factorization.

33033342242031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453899550.

The product of its (nonzero) digits is 93312, while the sum is 33.

Adding to 33033342242031 its reverse (13024224333033), we get a palindrome (46057566575064).

The spelling of 33033342242031 in words is "thirty-three trillion, thirty-three billion, three hundred forty-two million, two hundred forty-two thousand, thirty-one".

Divisors: 1 3 17 51 1427 4281 24259 72777 453898103 1361694309 7716267751 23148803253 647712592981 1943137778943 11011114080677 33033342242031