Search a number
-
+
10033031013233 is a prime number
BaseRepresentation
bin1001000111111111111100…
…1111111110001101110001
31022112011000011220120200212
42101333333033332031301
52303340121414410413
633201035534153505
72053601601334364
oct221777717761561
938464004816625
1010033031013233
113218a914a0168
121160575952895
1357a159473077
1426985bd340db
15125eaebd9ca8
hex91fff3fe371

10033031013233 has 2 divisors, whose sum is σ = 10033031013234. Its totient is φ = 10033031013232.

The previous prime is 10033031013221. The next prime is 10033031013263. The reversal of 10033031013233 is 33231013033001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9645788658289 + 387242354944 = 3105767^2 + 622288^2 .

It is a cyclic number.

It is not a de Polignac number, because 10033031013233 - 24 = 10033031013217 is a prime.

It is a super-2 number, since 2×100330310132332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10033031013199 and 10033031013208.

It is not a weakly prime, because it can be changed into another prime (10033031013263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016515506616 + 5016515506617.

It is an arithmetic number, because the mean of its divisors is an integer number (5016515506617).

Almost surely, 210033031013233 is an apocalyptic number.

It is an amenable number.

10033031013233 is a deficient number, since it is larger than the sum of its proper divisors (1).

10033031013233 is an equidigital number, since it uses as much as digits as its factorization.

10033031013233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1458, while the sum is 23.

Adding to 10033031013233 its reverse (33231013033001), we get a palindrome (43264044046234).

The spelling of 10033031013233 in words is "ten trillion, thirty-three billion, thirty-one million, thirteen thousand, two hundred thirty-three".