Search a number
-
+
33232313137 is a prime number
BaseRepresentation
bin11110111100110011…
…001101101100110001
310011210000110102102111
4132330303031230301
51021024433010022
623133335445321
72254346000212
oct367463155461
9104700412374
1033232313137
1113103857801
126535526841
133197c3871a
141873845409
15ce77ab477
hex7bcccdb31

33232313137 has 2 divisors, whose sum is σ = 33232313138. Its totient is φ = 33232313136.

The previous prime is 33232313087. The next prime is 33232313141. The reversal of 33232313137 is 73131323233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22365501601 + 10866811536 = 149551^2 + 104244^2 .

It is a cyclic number.

It is not a de Polignac number, because 33232313137 - 211 = 33232311089 is a prime.

It is a super-2 number, since 2×332323131372 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33232313099 and 33232313108.

It is not a weakly prime, because it can be changed into another prime (33232316137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16616156568 + 16616156569.

It is an arithmetic number, because the mean of its divisors is an integer number (16616156569).

Almost surely, 233232313137 is an apocalyptic number.

It is an amenable number.

33232313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

33232313137 is an equidigital number, since it uses as much as digits as its factorization.

33232313137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 20412, while the sum is 31.

The spelling of 33232313137 in words is "thirty-three billion, two hundred thirty-two million, three hundred thirteen thousand, one hundred thirty-seven".