Search a number
-
+
103312100041 is a prime number
BaseRepresentation
bin110000000110111100…
…0011000101011001001
3100212122222221110100121
41200031320120223021
53143040344200131
6115243320503241
710315112234563
oct1401570305311
9325588843317
10103312100041
113a8a5a94967
121803301ab21
139985a6a457
145000caa333
152a49dcc911
hex180de18ac9

103312100041 has 2 divisors, whose sum is σ = 103312100042. Its totient is φ = 103312100040.

The previous prime is 103312100029. The next prime is 103312100123. The reversal of 103312100041 is 140001213301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93819690000 + 9492410041 = 306300^2 + 97429^2 .

It is a cyclic number.

It is not a de Polignac number, because 103312100041 - 221 = 103310002889 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 103312099988 and 103312100024.

It is not a weakly prime, because it can be changed into another prime (103312106041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51656050020 + 51656050021.

It is an arithmetic number, because the mean of its divisors is an integer number (51656050021).

Almost surely, 2103312100041 is an apocalyptic number.

It is an amenable number.

103312100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

103312100041 is an equidigital number, since it uses as much as digits as its factorization.

103312100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 103312100041 its reverse (140001213301), we get a palindrome (243313313342).

The spelling of 103312100041 in words is "one hundred three billion, three hundred twelve million, one hundred thousand, forty-one".