Search a number
-
+
105413455633 is a prime number
BaseRepresentation
bin110001000101100100…
…0011010111100010001
3101002002110000101022111
41202023020122330101
53211341321040013
6120232024105321
710421146405663
oct1421310327421
9332073011274
10105413455633
1140784169482
121851a905241
139c2c211325
14515ddca533
152b1e61173d
hex188b21af11

105413455633 has 2 divisors, whose sum is σ = 105413455634. Its totient is φ = 105413455632.

The previous prime is 105413455627. The next prime is 105413455639. The reversal of 105413455633 is 336554314501.

It is a balanced prime because it is at equal distance from previous prime (105413455627) and next prime (105413455639).

It can be written as a sum of positive squares in only one way, i.e., 105412556929 + 898704 = 324673^2 + 948^2 .

It is a cyclic number.

It is not a de Polignac number, because 105413455633 - 217 = 105413324561 is a prime.

It is a super-2 number, since 2×1054134556332 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105413455639) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52706727816 + 52706727817.

It is an arithmetic number, because the mean of its divisors is an integer number (52706727817).

Almost surely, 2105413455633 is an apocalyptic number.

It is an amenable number.

105413455633 is a deficient number, since it is larger than the sum of its proper divisors (1).

105413455633 is an equidigital number, since it uses as much as digits as its factorization.

105413455633 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324000, while the sum is 40.

The spelling of 105413455633 in words is "one hundred five billion, four hundred thirteen million, four hundred fifty-five thousand, six hundred thirty-three".