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11144991 = 3111383313
BaseRepresentation
bin101010100000…
…111100011111
3202222020001110
4222200330133
510323114431
61034513103
7163505454
oct52407437
922866043
1011144991
116322440
123895793
132402a90
1416a182b
15ea2346
hexaa0f1f

11144991 has 32 divisors (see below), whose sum is σ = 17724672. Its totient is φ = 6140160.

The previous prime is 11144957. The next prime is 11145007. The reversal of 11144991 is 19944111.

11144991 = T1418 + T1419 + ... + T1428.

It is not a de Polignac number, because 11144991 - 27 = 11144863 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144951) 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 31 ways as a sum of consecutive naturals, for example, 35451 + ... + 35763.

It is an arithmetic number, because the mean of its divisors is an integer number (553896).

Almost surely, 211144991 is an apocalyptic number.

11144991 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11144991 is a deficient number, since it is larger than the sum of its proper divisors (6579681).

11144991 is a wasteful number, since it uses less digits than its factorization.

11144991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its digits is 1296, while the sum is 30.

The square root of 11144991 is about 3338.4114485785. The cubic root of 11144991 is about 223.3708897015.

It can be divided in two parts, 1114 and 4991, that added together give a triangular number (6105 = T110).

The spelling of 11144991 in words is "eleven million, one hundred forty-four thousand, nine hundred ninety-one".

Divisors: 1 3 11 13 33 39 83 143 249 313 429 913 939 1079 2739 3237 3443 4069 10329 11869 12207 25979 35607 44759 77937 134277 285769 337727 857307 1013181 3714997 11144991