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10211404041 = 323779388163
BaseRepresentation
bin10011000001010010…
…11010100100001001
3222100122120001221200
421200221122210021
5131403104412131
64405133454413
7511022334156
oct114051324411
928318501850
1010211404041
114370086aa3
121b8b941409
13c69738417
146cc27322d
153eb71b2e6
hex260a5a909

10211404041 has 24 divisors (see below), whose sum is σ = 15340241280. Its totient is φ = 6539753376.

The previous prime is 10211404033. The next prime is 10211404043. The reversal of 10211404041 is 14040411201.

10211404041 is a `hidden beast` number, since 10 + 211 + 40 + 404 + 1 = 666.

It is not a de Polignac number, because 10211404041 - 23 = 10211404033 is a prime.

It is a super-2 number, since 2×102114040412 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10211404043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167775 + ... + 220388.

It is an arithmetic number, because the mean of its divisors is an integer number (639176720).

Almost surely, 210211404041 is an apocalyptic number.

It is an amenable number.

10211404041 is a deficient number, since it is larger than the sum of its proper divisors (5128837239).

10211404041 is a wasteful number, since it uses less digits than its factorization.

10211404041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388285 (or 388282 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10211404041 its reverse (14040411201), we get a palindrome (24251815242).

The spelling of 10211404041 in words is "ten billion, two hundred eleven million, four hundred four thousand, forty-one".

Divisors: 1 3 9 37 79 111 237 333 711 2923 8769 26307 388163 1164489 3493467 14362031 30664877 43086093 91994631 129258279 275983893 1134600449 3403801347 10211404041