Search a number
-
+
100122183829 is a prime number
BaseRepresentation
bin101110100111110111…
…1110100100010010101
3100120102200112220221201
41131033233310202111
53120022234340304
6113555005512501
710143056343403
oct1351757644225
9316380486851
10100122183829
11395093a9678
12174a2872731
139597c1c675
144bbb388473
15290ed223a4
hex174fbf4895

100122183829 has 2 divisors, whose sum is σ = 100122183830. Its totient is φ = 100122183828.

The previous prime is 100122183823. The next prime is 100122183881. The reversal of 100122183829 is 928381221001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91489915729 + 8632268100 = 302473^2 + 92910^2 .

It is a cyclic number.

It is not a de Polignac number, because 100122183829 - 217 = 100122052757 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100122183823) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50061091914 + 50061091915.

It is an arithmetic number, because the mean of its divisors is an integer number (50061091915).

Almost surely, 2100122183829 is an apocalyptic number.

It is an amenable number.

100122183829 is a deficient number, since it is larger than the sum of its proper divisors (1).

100122183829 is an equidigital number, since it uses as much as digits as its factorization.

100122183829 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 37.

The spelling of 100122183829 in words is "one hundred billion, one hundred twenty-two million, one hundred eighty-three thousand, eight hundred twenty-nine".