Search a number
-
+
11003113123 = 1931671032707
BaseRepresentation
bin10100011111101011…
…00010111010100011
31001101211022001122021
422033311202322203
5140013244104443
65015454522311
7536444630002
oct121765427243
931354261567
1011003113123
114736a74822
122170b06397
131064777632
14765480c39
15445ea69ed
hex28fd62ea3

11003113123 has 32 divisors (see below), whose sum is σ = 12256624640. Its totient is φ = 9837067680.

The previous prime is 11003113081. The next prime is 11003113139. The reversal of 11003113123 is 32131130011.

It is a cyclic number.

It is not a de Polignac number, because 11003113123 - 233 = 2413178531 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11003113097 and 11003113106.

It is not an unprimeable number, because it can be changed into a prime (11003113193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4063336 + ... + 4066042.

It is an arithmetic number, because the mean of its divisors is an integer number (383019520).

Almost surely, 211003113123 is an apocalyptic number.

11003113123 is a deficient number, since it is larger than the sum of its proper divisors (1253511517).

11003113123 is a wasteful number, since it uses less digits than its factorization.

11003113123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11003113123 its reverse (32131130011), we get a palindrome (43134243134).

The spelling of 11003113123 in words is "eleven billion, three million, one hundred thirteen thousand, one hundred twenty-three".

Divisors: 1 19 31 67 103 589 1273 1957 2077 2707 3193 6901 39463 51433 60667 83917 131119 181369 213931 278821 1594423 3446011 4064689 5297599 5622439 8643451 18681007 106826341 164225569 354939133 579111217 11003113123