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33401505013 is a prime number
BaseRepresentation
bin11111000110111000…
…101000010011110101
310012012210211021001021
4133012320220103311
51021401241130023
623202222101141
72261502052042
oct370670502365
9105183737037
1033401505013
11131903080a8
12658211a7b1
1331c3cc6c66
14188c0c81c9
15d0757c35d
hex7c6e284f5

33401505013 has 2 divisors, whose sum is σ = 33401505014. Its totient is φ = 33401505012.

The previous prime is 33401504971. The next prime is 33401505037. The reversal of 33401505013 is 31050510433.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20690520964 + 12710984049 = 143842^2 + 112743^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33401505013 is a prime.

It is a super-2 number, since 2×334015050132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33401505113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16700752506 + 16700752507.

It is an arithmetic number, because the mean of its divisors is an integer number (16700752507).

Almost surely, 233401505013 is an apocalyptic number.

It is an amenable number.

33401505013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33401505013 is an equidigital number, since it uses as much as digits as its factorization.

33401505013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2700, while the sum is 25.

The spelling of 33401505013 in words is "thirty-three billion, four hundred one million, five hundred five thousand, thirteen".