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10680803211 = 313229739983
BaseRepresentation
bin10011111001010000…
…00001111110001011
31000120100211000120010
421330220001332023
5133333241200321
64523502403003
7525452220651
oct117450017613
930510730503
1010680803211
1145910425a1
1220a0b90463
131012a67c00
14734740dd1
15427a3c676
hex27ca01f8b

10680803211 has 48 divisors (see below), whose sum is σ = 15990393600. Its totient is φ = 6331118976.

The previous prime is 10680803201. The next prime is 10680803213. The reversal of 10680803211 is 11230808601.

10680803211 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10680803211 - 219 = 10680278923 is a prime.

It is a super-2 number, since 2×106808032112 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10680803213) 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 in 47 ways as a sum of consecutive naturals, for example, 10865026 + ... + 10866008.

It is an arithmetic number, because the mean of its divisors is an integer number (333133200).

Almost surely, 210680803211 is an apocalyptic number.

10680803211 is a deficient number, since it is larger than the sum of its proper divisors (5309590389).

10680803211 is a wasteful number, since it uses less digits than its factorization.

10680803211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1780 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 10680803211 in words is "ten billion, six hundred eighty million, eight hundred three thousand, two hundred eleven".