Search a number
-
+
22321109137 is a prime number
BaseRepresentation
bin10100110010011100…
…010001100010010001
32010121121002211101211
4110302130101202101
5331203200443022
614130522500121
71420065203635
oct246234214221
963547084354
1022321109137
119514758738
1243ab364641
132149530cb2
14111a68adc5
158a990be77
hex532711891

22321109137 has 2 divisors, whose sum is σ = 22321109138. Its totient is φ = 22321109136.

The previous prime is 22321109101. The next prime is 22321109143. The reversal of 22321109137 is 73190112322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17499056656 + 4822052481 = 132284^2 + 69441^2 .

It is a cyclic number.

It is not a de Polignac number, because 22321109137 - 211 = 22321107089 is a prime.

It is a super-3 number, since 3×223211091373 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22321109099 and 22321109108.

It is not a weakly prime, because it can be changed into another prime (22321101137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11160554568 + 11160554569.

It is an arithmetic number, because the mean of its divisors is an integer number (11160554569).

Almost surely, 222321109137 is an apocalyptic number.

It is an amenable number.

22321109137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22321109137 is an equidigital number, since it uses as much as digits as its factorization.

22321109137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 31.

The spelling of 22321109137 in words is "twenty-two billion, three hundred twenty-one million, one hundred nine thousand, one hundred thirty-seven".