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10993149321 = 371168369677
BaseRepresentation
bin10100011110011111…
…00010010110001001
31001101010112211212120
422033033202112021
5140003221234241
65014501201453
7536264141010
oct121717422611
931333484776
1010993149321
114731389880
122169700289
1310626993ab
14764009a77
15445189666
hex28f3e2589

10993149321 has 32 divisors (see below), whose sum is σ = 18301344768. Its totient is φ = 5702283840.

The previous prime is 10993149301. The next prime is 10993149347. The reversal of 10993149321 is 12394139901.

10993149321 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 10993149321 - 29 = 10993148809 is a prime.

It is a super-2 number, since 2×109931493212 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10993149301) 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 31 ways as a sum of consecutive naturals, for example, 122935 + ... + 192611.

It is an arithmetic number, because the mean of its divisors is an integer number (571917024).

Almost surely, 210993149321 is an apocalyptic number.

10993149321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10993149321 is a deficient number, since it is larger than the sum of its proper divisors (7308195447).

10993149321 is a wasteful number, since it uses less digits than its factorization.

10993149321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70381.

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 10993149321 in words is "ten billion, nine hundred ninety-three million, one hundred forty-nine thousand, three hundred twenty-one".

Divisors: 1 3 7 11 21 33 77 231 683 2049 4781 7513 14343 22539 52591 69677 157773 209031 487739 766447 1463217 2299341 5365129 16095387 47589391 142768173 333125737 523483301 999377211 1570449903 3664383107 10993149321