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10005552367 is a prime number
BaseRepresentation
bin10010101000110000…
…01001110011101111
3221211022012201112121
421110120021303233
5130442410133432
64332501413411
7502642535416
oct112430116357
927738181477
1010005552367
114274967648
121b32a0a267
13c35bb27b5
146acbaa47d
153d8608197
hex254609cef

10005552367 has 2 divisors, whose sum is σ = 10005552368. Its totient is φ = 10005552366.

The previous prime is 10005552311. The next prime is 10005552397. The reversal of 10005552367 is 76325550001.

10005552367 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10005552367 - 27 = 10005552239 is a prime.

It is a super-2 number, since 2×100055523672 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10005552397) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5002776183 + 5002776184.

It is an arithmetic number, because the mean of its divisors is an integer number (5002776184).

Almost surely, 210005552367 is an apocalyptic number.

10005552367 is a deficient number, since it is larger than the sum of its proper divisors (1).

10005552367 is an equidigital number, since it uses as much as digits as its factorization.

10005552367 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 31500, while the sum is 34.

The spelling of 10005552367 in words is "ten billion, five million, five hundred fifty-two thousand, three hundred sixty-seven".