Search a number
-
+
100110122269 is a prime number
BaseRepresentation
bin101110100111100000…
…1110011110100011101
3100120101211212010121021
41131033001303310131
53120011142403034
6113553455204141
710142551666453
oct1351701636435
9316354763537
10100110122269
1139502610643
121749a816651
139595588651
144bb99289d3
15290dc3d6b4
hex174f073d1d

100110122269 has 2 divisors, whose sum is σ = 100110122270. Its totient is φ = 100110122268.

The previous prime is 100110122267. The next prime is 100110122303. The reversal of 100110122269 is 962221011001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64024180900 + 36085941369 = 253030^2 + 189963^2 .

It is a cyclic number.

It is not a de Polignac number, because 100110122269 - 21 = 100110122267 is a prime.

It is a super-2 number, since 2×1001101222692 (a number of 23 digits) contains 22 as substring.

Together with 100110122267, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110122263) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055061134 + 50055061135.

It is an arithmetic number, because the mean of its divisors is an integer number (50055061135).

Almost surely, 2100110122269 is an apocalyptic number.

It is an amenable number.

100110122269 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110122269 is an equidigital number, since it uses as much as digits as its factorization.

100110122269 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 100110122269 in words is "one hundred billion, one hundred ten million, one hundred twenty-two thousand, two hundred sixty-nine".