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11144006631 = 3219357711119
BaseRepresentation
bin10100110000011110…
…00000101111100111
31001202122102012012100
422120033000233213
5140310331203011
65041450423143
7543105331152
oct123017005747
931678365170
1011144006631
1147a955713a
1221b0131ab3
131087a08584
1477a078c99
15453537d56
hex2983c0be7

11144006631 has 24 divisors (see below), whose sum is σ = 16209801920. Its totient is φ = 7377371136.

The previous prime is 11144006623. The next prime is 11144006633. The reversal of 11144006631 is 13660044111.

11144006631 is a `hidden beast` number, since 11 + 14 + 4 + 0 + 0 + 6 + 631 = 666.

11144006631 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 11144006631 - 23 = 11144006623 is a prime.

It is a super-2 number, since 2×111440066312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11144006595 and 11144006604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11144006633) 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 23 ways as a sum of consecutive naturals, for example, 996690 + ... + 1007808.

Almost surely, 211144006631 is an apocalyptic number.

11144006631 is a deficient number, since it is larger than the sum of its proper divisors (5065795289).

11144006631 is a wasteful number, since it uses less digits than its factorization.

11144006631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11892 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11144006631 in words is "eleven billion, one hundred forty-four million, six thousand, six hundred thirty-one".

Divisors: 1 3 9 193 577 579 1731 1737 5193 11119 33357 100071 111361 334083 1002249 2145967 6415663 6437901 19246989 19313703 57740967 1238222959 3714668877 11144006631