Search a number
-
+
33022133122039 is a prime number
BaseRepresentation
bin1111000001000100100001…
…00000111011001111110111
311022220212220020100010111221
413200202100200323033313
513312013312034401124
6154122054124211211
76645525146155015
oct740422040731767
9138825806303457
1033022133122039
11a581676297a26
123853ab1699b07
131556c87560969
148223cb9978b5
153c3eac694ce4
hex1e089083b3f7

33022133122039 has 2 divisors, whose sum is σ = 33022133122040. Its totient is φ = 33022133122038.

The previous prime is 33022133122009. The next prime is 33022133122057. The reversal of 33022133122039 is 93022133122033.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 33022133122039 - 27 = 33022133121911 is a prime.

It is a super-2 number, since 2×330221331220392 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33022133121995 and 33022133122013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33022133122009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16511066561019 + 16511066561020.

It is an arithmetic number, because the mean of its divisors is an integer number (16511066561020).

Almost surely, 233022133122039 is an apocalyptic number.

33022133122039 is a deficient number, since it is larger than the sum of its proper divisors (1).

33022133122039 is an equidigital number, since it uses as much as digits as its factorization.

33022133122039 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34992, while the sum is 34.

The spelling of 33022133122039 in words is "thirty-three trillion, twenty-two billion, one hundred thirty-three million, one hundred twenty-two thousand, thirty-nine".