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400202332993 is a prime number
BaseRepresentation
bin1011101001011011110…
…10101111101101000001
31102020222210021221200101
411310231322233231001
523024103244123433
6503503404522401
740625246463061
oct5645572575501
91366883257611
10400202332993
111447a7869151
126568ab50401
132b97b5314c8
1415526dd13a1
15a62456407d
hex5d2deafb41

400202332993 has 2 divisors, whose sum is σ = 400202332994. Its totient is φ = 400202332992.

The previous prime is 400202332991. The next prime is 400202332997. The reversal of 400202332993 is 399233202004.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 302579205184 + 97623127809 = 550072^2 + 312447^2 .

It is a cyclic number.

It is not a de Polignac number, because 400202332993 - 21 = 400202332991 is a prime.

Together with 400202332991, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (400202332991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200101166496 + 200101166497.

It is an arithmetic number, because the mean of its divisors is an integer number (200101166497).

Almost surely, 2400202332993 is an apocalyptic number.

It is an amenable number.

400202332993 is a deficient number, since it is larger than the sum of its proper divisors (1).

400202332993 is an equidigital number, since it uses as much as digits as its factorization.

400202332993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 69984, while the sum is 37.

Adding to 400202332993 its reverse (399233202004), we get a palindrome (799435534997).

The spelling of 400202332993 in words is "four hundred billion, two hundred two million, three hundred thirty-two thousand, nine hundred ninety-three".