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10211340393 = 324616533769
BaseRepresentation
bin10011000001010010…
…01011000001101001
3222100122102211122100
421200221023001221
5131403100343033
64405132244013
7511021650462
oct114051130151
928318384570
1010211340393
1143700431a1
121b8b910609
13c69715467
146cc257d69
153eb707513
hex260a4b069

10211340393 has 24 divisors (see below), whose sum is σ = 14808273480. Its totient is φ = 6780591360.

The previous prime is 10211340389. The next prime is 10211340407. The reversal of 10211340393 is 39304311201.

It can be written as a sum of positive squares in 4 ways, for example, as 1130775129 + 9080565264 = 33627^2 + 95292^2 .

It is not a de Polignac number, because 10211340393 - 22 = 10211340389 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10211340593) 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, 2707413 + ... + 2711181.

It is an arithmetic number, because the mean of its divisors is an integer number (617011395).

Almost surely, 210211340393 is an apocalyptic number.

It is an amenable number.

10211340393 is a deficient number, since it is larger than the sum of its proper divisors (4596933087).

10211340393 is a wasteful number, since it uses less digits than its factorization.

10211340393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4889 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10211340393 its reverse (39304311201), we get a palindrome (49515651594).

The spelling of 10211340393 in words is "ten billion, two hundred eleven million, three hundred forty thousand, three hundred ninety-three".

Divisors: 1 3 9 461 653 1383 1959 3769 4149 5877 11307 33921 301033 903099 1737509 2461157 2709297 5212527 7383471 15637581 22150413 1134593377 3403780131 10211340393