Search a number
-
+
33112010033 is a prime number
BaseRepresentation
bin11110110101101000…
…010010110100110001
310011110122002101120222
4132311220102310301
51020303133310113
623113401142425
72251355304254
oct366550226461
9104418071528
1033112010033
1113051959253
12650118aa15
13317903685b
14186188b09b
15cdbe45e08
hex7b5a12d31

33112010033 has 2 divisors, whose sum is σ = 33112010034. Its totient is φ = 33112010032.

The previous prime is 33112010017. The next prime is 33112010039. The reversal of 33112010033 is 33001021133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30713263504 + 2398746529 = 175252^2 + 48977^2 .

It is a cyclic number.

It is not a de Polignac number, because 33112010033 - 24 = 33112010017 is a prime.

It is a super-2 number, since 2×331120100332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33112009993 and 33112010020.

It is not a weakly prime, because it can be changed into another prime (33112010039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556005016 + 16556005017.

It is an arithmetic number, because the mean of its divisors is an integer number (16556005017).

Almost surely, 233112010033 is an apocalyptic number.

It is an amenable number.

33112010033 is a deficient number, since it is larger than the sum of its proper divisors (1).

33112010033 is an equidigital number, since it uses as much as digits as its factorization.

33112010033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 33112010033 its reverse (33001021133), we get a palindrome (66113031166).

The spelling of 33112010033 in words is "thirty-three billion, one hundred twelve million, ten thousand, thirty-three".