Search a number
-
+
101022413417 is a prime number
BaseRepresentation
bin101111000010101100…
…1111011001001101001
3100122202102111022210022
41132011121323021221
53123343214212132
6114224204530225
710204300226432
oct1360531731151
9318672438708
10101022413417
1139930578472
12176b4250975
1396ac5966b3
144c64b64489
152963d96e12
hex178567b269

101022413417 has 2 divisors, whose sum is σ = 101022413418. Its totient is φ = 101022413416.

The previous prime is 101022413411. The next prime is 101022413441. The reversal of 101022413417 is 714314220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51658016656 + 49364396761 = 227284^2 + 222181^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022413417 - 26 = 101022413353 is a prime.

It is not a weakly prime, because it can be changed into another prime (101022413411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511206708 + 50511206709.

It is an arithmetic number, because the mean of its divisors is an integer number (50511206709).

Almost surely, 2101022413417 is an apocalyptic number.

It is an amenable number.

101022413417 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022413417 is an equidigital number, since it uses as much as digits as its factorization.

101022413417 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 101022413417 its reverse (714314220101), we get a palindrome (815336633518).

The spelling of 101022413417 in words is "one hundred one billion, twenty-two million, four hundred thirteen thousand, four hundred seventeen".