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72230400029 is a prime number
BaseRepresentation
bin100001101000101000…
…1000111000000011101
320220102212020111112002
41003101101013000131
52140411440300104
653103204052045
75134636161434
oct1032121070035
9226385214462
1072230400029
11286a61a5687
1211bb9994025
136a71561098
1436d2d2811b
151d2b33501e
hex10d144701d

72230400029 has 2 divisors, whose sum is σ = 72230400030. Its totient is φ = 72230400028.

The previous prime is 72230399971. The next prime is 72230400031. The reversal of 72230400029 is 92000403227.

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., 64920492025 + 7309908004 = 254795^2 + 85498^2 .

It is a cyclic number.

It is not a de Polignac number, because 72230400029 - 212 = 72230395933 is a prime.

Together with 72230400031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 72230399974 and 72230400010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (72230400049) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36115200014 + 36115200015.

It is an arithmetic number, because the mean of its divisors is an integer number (36115200015).

Almost surely, 272230400029 is an apocalyptic number.

It is an amenable number.

72230400029 is a deficient number, since it is larger than the sum of its proper divisors (1).

72230400029 is an equidigital number, since it uses as much as digits as its factorization.

72230400029 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 72230400029 in words is "seventy-two billion, two hundred thirty million, four hundred thousand, twenty-nine".