Search a number
-
+
10232131300100 = 2252102321313001
BaseRepresentation
bin1001010011100101101010…
…0011010010101100000100
31100020011220211020002210122
42110321122203102230010
52320120401103100400
633432324244241112
72104150516006133
oct224713243225404
940204824202718
1010232131300100
113295471405596
1211930800a0198
13592b692692b8
1427534873191a
1512b26418c685
hex94e5a8d2b04

10232131300100 has 18 divisors (see below), whose sum is σ = 22203724921434. Its totient is φ = 4092852520000.

The previous prime is 10232131300093. The next prime is 10232131300103. The reversal of 10232131300100 is 100313123201.

It can be written as a sum of positive squares in 3 ways, for example, as 116942596 + 10232014357504 = 10814^2 + 3198752^2 .

It is a super-2 number, since 2×102321313001002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10232131300103) 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 5 ways as a sum of consecutive naturals, for example, 51160656401 + ... + 51160656600.

It is an arithmetic number, because the mean of its divisors is an integer number (1233540273413).

Almost surely, 210232131300100 is an apocalyptic number.

10232131300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10232131300100 is an abundant number, since it is smaller than the sum of its proper divisors (11971593621334).

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

10232131300100 is a wasteful number, since it uses less digits than its factorization.

10232131300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102321313015 (or 102321313008 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10232131300100 its reverse (100313123201), we get a palindrome (10332444423301).

The spelling of 10232131300100 in words is "ten trillion, two hundred thirty-two billion, one hundred thirty-one million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102321313001 204642626002 409285252004 511606565005 1023213130010 2046426260020 2558032825025 5116065650050 10232131300100