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10006001055 = 3251028921611
BaseRepresentation
bin10010101000110011…
…10111010110011111
3221211100001112000200
421110121313112133
5130443014013210
64332515154543
7502646414511
oct112431672637
927740045020
1010006001055
114275143766
121b32ba5a53
13c3600baab
146acc85bb1
153d86960c0
hex25467759f

10006001055 has 24 divisors (see below), whose sum is σ = 17346223440. Its totient is φ = 5335768320.

The previous prime is 10006001009. The next prime is 10006001059. The reversal of 10006001055 is 55010060001.

10006001055 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 600 + 10 + 55 = 666.

It is not a de Polignac number, because 10006001055 - 210 = 10006000031 is a prime.

It is a super-2 number, since 2×100060010552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006001059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 452200 + ... + 473810.

It is an arithmetic number, because the mean of its divisors is an integer number (722759310).

Almost surely, 210006001055 is an apocalyptic number.

10006001055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006001055 is a deficient number, since it is larger than the sum of its proper divisors (7340222385).

10006001055 is a wasteful number, since it uses less digits than its factorization.

10006001055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31911 (or 31908 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10006001055 its reverse (55010060001), we get a palindrome (65016061056).

The spelling of 10006001055 in words is "ten billion, six million, one thousand, fifty-five".

Divisors: 1 3 5 9 15 45 10289 21611 30867 51445 64833 92601 108055 154335 194499 324165 463005 972495 222355579 667066737 1111777895 2001200211 3335333685 10006001055