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11263531005 = 335322125903
BaseRepresentation
bin10100111110101101…
…11101011111111101
31002001222022122211000
422133112331133331
5141031430443010
65101400320513
7546056301546
oct123726753775
932058278730
1011263531005
11485aa73611
122224173139
1310a66c6b5c
1478bcad4cd
1545dc977c0
hex29f5bd7fd

11263531005 has 32 divisors (see below), whose sum is σ = 20031045120. Its totient is φ = 6005119680.

The previous prime is 11263530991. The next prime is 11263531031. The reversal of 11263531005 is 50013536211.

11263531005 is a `hidden beast` number, since 1 + 12 + 635 + 3 + 10 + 0 + 5 = 666.

It is not a de Polignac number, because 11263531005 - 28 = 11263530749 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11263531005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 421884 + ... + 447786.

It is an arithmetic number, because the mean of its divisors is an integer number (625970160).

Almost surely, 211263531005 is an apocalyptic number.

11263531005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11263531005 is a deficient number, since it is larger than the sum of its proper divisors (8767514115).

11263531005 is a wasteful number, since it uses less digits than its factorization.

11263531005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29138 (or 29132 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 11263531005 in words is "eleven billion, two hundred sixty-three million, five hundred thirty-one thousand, five".

Divisors: 1 3 5 9 15 27 45 135 3221 9663 16105 25903 28989 48315 77709 86967 129515 144945 233127 388545 434835 699381 1165635 3496905 83433563 250300689 417167815 750902067 1251503445 2252706201 3754510335 11263531005