Search a number
-
+
10011123130 = 2511324136761
BaseRepresentation
bin10010101001011010…
…11001110110111010
3221211200200202012011
421110231121312322
5131000321420010
64333221040134
7503041066621
oct112455316672
927750622164
1010011123130
114278021a88
121b3485604a
13c370b32c8
146ad81a6b8
153d8d58a8a
hex254b59dba

10011123130 has 32 divisors (see below), whose sum is σ = 18255421008. Its totient is φ = 3952435200.

The previous prime is 10011123121. The next prime is 10011123139. The reversal of 10011123130 is 3132111001.

It is an interprime number because it is at equal distance from previous prime (10011123121) and next prime (10011123139).

It can be written as a sum of positive squares in 8 ways, for example, as 256992961 + 9754130169 = 16031^2 + 98763^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10011123130.

It is not an unprimeable number, because it can be changed into a prime (10011123139) 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 15 ways as a sum of consecutive naturals, for example, 253950 + ... + 290710.

Almost surely, 210011123130 is an apocalyptic number.

10011123130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10011123130 is a deficient number, since it is larger than the sum of its proper divisors (8244297878).

10011123130 is a wasteful number, since it uses less digits than its factorization.

10011123130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37122.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10011123130 its reverse (3132111001), we get a palindrome (13143234131).

The spelling of 10011123130 in words is "ten billion, eleven million, one hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 113 226 241 482 565 1130 1205 2410 27233 36761 54466 73522 136165 183805 272330 367610 4153993 8307986 8859401 17718802 20769965 41539930 44297005 88594010 1001112313 2002224626 5005561565 10011123130