Search a number
-
+
103311332233157 is a prime number
BaseRepresentation
bin10111011111011000001011…
…010000100100111111000101
3111112210110121101002220221002
4113133120023100210333011
5102020123102022430112
61003420323144303045
730521666056543436
oct2737301320447705
9445713541086832
10103311332233157
112aa110a97a76a4
12b706518171a85
1345852a84a4449
141b7241bcc148d
15be25714db1c2
hex5df60b424fc5

103311332233157 has 2 divisors, whose sum is σ = 103311332233158. Its totient is φ = 103311332233156.

The previous prime is 103311332233147. The next prime is 103311332233163. The reversal of 103311332233157 is 751332233113301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100281177374401 + 3030154858756 = 10014049^2 + 1740734^2 .

It is a cyclic number.

It is not a de Polignac number, because 103311332233157 - 224 = 103311315455941 is a prime.

It is a super-2 number, since 2×1033113322331572 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103311332233157.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103311332233147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51655666116578 + 51655666116579.

It is an arithmetic number, because the mean of its divisors is an integer number (51655666116579).

Almost surely, 2103311332233157 is an apocalyptic number.

It is an amenable number.

103311332233157 is a deficient number, since it is larger than the sum of its proper divisors (1).

103311332233157 is an equidigital number, since it uses as much as digits as its factorization.

103311332233157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 102060, while the sum is 38.

Adding to 103311332233157 its reverse (751332233113301), we get a palindrome (854643565346458).

The spelling of 103311332233157 in words is "one hundred three trillion, three hundred eleven billion, three hundred thirty-two million, two hundred thirty-three thousand, one hundred fifty-seven".