Search a number
-
+
22177012961 is a prime number
BaseRepresentation
bin10100101001110110…
…100101110011100001
32010020112221222121102
4110221312211303201
5330404303403321
614104334204145
71413365333315
oct245166456341
963215858542
1022177012961
119450389094
12436b053655
13212571b39c
14110549bb45
1589be46c0b
hex529da5ce1

22177012961 has 2 divisors, whose sum is σ = 22177012962. Its totient is φ = 22177012960.

The previous prime is 22177012951. The next prime is 22177012987. The reversal of 22177012961 is 16921077122.

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., 22176868561 + 144400 = 148919^2 + 380^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-22177012961 is a prime.

It is not a weakly prime, because it can be changed into another prime (22177012951) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11088506480 + 11088506481.

It is an arithmetic number, because the mean of its divisors is an integer number (11088506481).

Almost surely, 222177012961 is an apocalyptic number.

It is an amenable number.

22177012961 is a deficient number, since it is larger than the sum of its proper divisors (1).

22177012961 is an equidigital number, since it uses as much as digits as its factorization.

22177012961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21168, while the sum is 38.

The spelling of 22177012961 in words is "twenty-two billion, one hundred seventy-seven million, twelve thousand, nine hundred sixty-one".