Search a number
-
+
100221121589 is a prime number
BaseRepresentation
bin101110101010110100…
…1001111010000110101
3100120200120201111001012
41131111221033100311
53120223101342324
6114012502242005
710145400322601
oct1352551172065
9316616644035
10100221121589
113955a235016
121750ba26305
1395b2580814
144bca580501
15291886720e
hex1755a4f435

100221121589 has 2 divisors, whose sum is σ = 100221121590. Its totient is φ = 100221121588.

The previous prime is 100221121537. The next prime is 100221121597. The reversal of 100221121589 is 985121122001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99188463364 + 1032658225 = 314942^2 + 32135^2 .

It is an emirp because it is prime and its reverse (985121122001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100221121589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221121519) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110560794 + 50110560795.

It is an arithmetic number, because the mean of its divisors is an integer number (50110560795).

Almost surely, 2100221121589 is an apocalyptic number.

It is an amenable number.

100221121589 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221121589 is an equidigital number, since it uses as much as digits as its factorization.

100221121589 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2880, while the sum is 32.

The spelling of 100221121589 in words is "one hundred billion, two hundred twenty-one million, one hundred twenty-one thousand, five hundred eighty-nine".