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11211993 = 3313171879
BaseRepresentation
bin101010110001…
…010011011001
3210002121222000
4222301103121
510332240433
61040151213
7164205012
oct52612331
923077860
1011211993
116368811
123908509
132427420
1416bc009
15eb7113
hexab14d9

11211993 has 32 divisors (see below), whose sum is σ = 18950400. Its totient is φ = 6490368.

The previous prime is 11211989. The next prime is 11212001. The reversal of 11211993 is 39911211.

11211993 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 11211993 - 22 = 11211989 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11211913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5028 + ... + 6906.

It is an arithmetic number, because the mean of its divisors is an integer number (592200).

Almost surely, 211211993 is an apocalyptic number.

11211993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11211993 is a deficient number, since it is larger than the sum of its proper divisors (7738407).

11211993 is a wasteful number, since it uses less digits than its factorization.

11211993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1912 counting only the distinct ones).

The product of its digits is 486, while the sum is 27.

The square root of 11211993 is about 3348.4314238162. The cubic root of 11211993 is about 223.8176196695.

The spelling of 11211993 in words is "eleven million, two hundred eleven thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1879 1989 5637 5967 16911 24427 31943 50733 73281 95829 219843 287487 415259 659529 862461 1245777 3737331 11211993