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429123370801 is a prime number
BaseRepresentation
bin1100011111010011011…
…11101111111100110001
31112000122100022220011211
412033221233233330301
524012321040331201
6525045255040121
743001035316416
oct6175157577461
91460570286154
10429123370801
11155a98a56994
126b200670041
133160a200528
1416aac01610d
15b2685b0651
hex63e9beff31

429123370801 has 2 divisors, whose sum is σ = 429123370802. Its totient is φ = 429123370800.

The previous prime is 429123370787. The next prime is 429123370847. The reversal of 429123370801 is 108073321924.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 333478530576 + 95644840225 = 577476^2 + 309265^2 .

It is a cyclic number.

It is not a de Polignac number, because 429123370801 - 225 = 429089816369 is a prime.

It is a super-2 number, since 2×4291233708012 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (429123370861) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214561685400 + 214561685401.

It is an arithmetic number, because the mean of its divisors is an integer number (214561685401).

Almost surely, 2429123370801 is an apocalyptic number.

It is an amenable number.

429123370801 is a deficient number, since it is larger than the sum of its proper divisors (1).

429123370801 is an equidigital number, since it uses as much as digits as its factorization.

429123370801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 429123370801 in words is "four hundred twenty-nine billion, one hundred twenty-three million, three hundred seventy thousand, eight hundred one".