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72022113301 is a prime number
BaseRepresentation
bin100001100010011011…
…0100011110000010101
320212220100022102211211
41003010312203300111
52140000130111201
653030403501421
75126526601465
oct1030466436025
9225810272754
1072022113301
11285a9672796
1211b60087871
136a3a364cb8
1436b33c9ba5
151d17de0651
hex10c4da3c15

72022113301 has 2 divisors, whose sum is σ = 72022113302. Its totient is φ = 72022113300.

The previous prime is 72022113211. The next prime is 72022113329. The reversal of 72022113301 is 10331122027.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42446712676 + 29575400625 = 206026^2 + 171975^2 .

It is an emirp because it is prime and its reverse (10331122027) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 72022113301 - 211 = 72022111253 is a prime.

It is a super-2 number, since 2×720221133012 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72022113391) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36011056650 + 36011056651.

It is an arithmetic number, because the mean of its divisors is an integer number (36011056651).

Almost surely, 272022113301 is an apocalyptic number.

It is an amenable number.

72022113301 is a deficient number, since it is larger than the sum of its proper divisors (1).

72022113301 is an equidigital number, since it uses as much as digits as its factorization.

72022113301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 504, while the sum is 22.

Adding to 72022113301 its reverse (10331122027), we get a palindrome (82353235328).

The spelling of 72022113301 in words is "seventy-two billion, twenty-two million, one hundred thirteen thousand, three hundred one".