Search a number
-
+
11290760013 = 3131972720959
BaseRepresentation
bin10101000001111101…
…10101001101001101
31002010212120000222210
422200332311031031
5141110413310023
65104212101033
7546536606451
oct124076651515
932125500883
1011290760013
114874381125
122231304779
1310ac23b7b0
1479175a661
15461375593
hex2a0fb534d

11290760013 has 32 divisors (see below), whose sum is σ = 17089945600. Its totient is φ = 6573099456.

The previous prime is 11290759993. The next prime is 11290760071. The reversal of 11290760013 is 31006709211.

It is not a de Polignac number, because 11290760013 - 210 = 11290758989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11290760083) 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, 528228 + ... + 549186.

It is an arithmetic number, because the mean of its divisors is an integer number (534060800).

Almost surely, 211290760013 is an apocalyptic number.

11290760013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

11290760013 is a deficient number, since it is larger than the sum of its proper divisors (5799185587).

11290760013 is a wasteful number, since it uses less digits than its factorization.

11290760013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21721.

The product of its (nonzero) digits is 2268, while the sum is 30.

The spelling of 11290760013 in words is "eleven billion, two hundred ninety million, seven hundred sixty thousand, thirteen".

Divisors: 1 3 13 19 39 57 247 727 741 2181 9451 13813 20959 28353 41439 62877 179569 272467 398221 538707 817401 1194663 5176873 15237193 15530619 45711579 198083509 289506667 594250527 868520001 3763586671 11290760013