Search a number
-
+
11133520110 = 2325313990509
BaseRepresentation
bin10100101111001110…
…00000100011101110
31001201220200102101200
422113213000203232
5140300140120420
65040433550330
7542620234206
oct122747004356
931656612350
1011133520110
1147a3644499
1221a87153a6
1310857a642b
14778909406
15452665b90
hex2979c08ee

11133520110 has 48 divisors (see below), whose sum is σ = 29880938880. Its totient is φ = 2873165760.

The previous prime is 11133520109. The next prime is 11133520121. The reversal of 11133520110 is 1102533111.

11133520110 is a `hidden beast` number, since 1 + 1 + 1 + 33 + 520 + 110 = 666.

11133520110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 1992465 + ... + 1998044.

It is an arithmetic number, because the mean of its divisors is an integer number (622519560).

Almost surely, 211133520110 is an apocalyptic number.

11133520110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11133520110 is an abundant number, since it is smaller than the sum of its proper divisors (18747418770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11133520110 is a wasteful number, since it uses less digits than its factorization.

11133520110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3990553 (or 3990550 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The spelling of 11133520110 in words is "eleven billion, one hundred thirty-three million, five hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 3990509 7981018 11971527 19952545 23943054 35914581 39905090 59857635 71829162 119715270 123705779 179572905 247411558 359145810 371117337 618528895 742234674 1113352011 1237057790 1855586685 2226704022 3711173370 5566760055 11133520110