Search a number
-
+
1031132200013 = 4721938982979
BaseRepresentation
bin11110000000101000100…
…01001011110001001101
310122120112101011001021222
433000110101023301031
5113343224320400023
62105410125333125
7134332263041366
oct17002421136115
93576471131258
101031132200013
11368334277613
12147a101071a5
137630a0a6a76
1437c9adb2b6d
151bc4e986cc8
hexf01444bc4d

1031132200013 has 4 divisors (see below), whose sum is σ = 1053071183040. Its totient is φ = 1009193216988.

The previous prime is 1031132199907. The next prime is 1031132200027. The reversal of 1031132200013 is 3100022311301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1031132200013 is a prime.

It is a super-2 number, since 2×10311322000132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031132199964 and 1031132200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031432200013) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 10969491443 + ... + 10969491536.

It is an arithmetic number, because the mean of its divisors is an integer number (263267795760).

Almost surely, 21031132200013 is an apocalyptic number.

It is an amenable number.

1031132200013 is a deficient number, since it is larger than the sum of its proper divisors (21938983027).

1031132200013 is an equidigital number, since it uses as much as digits as its factorization.

1031132200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938983026.

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

Adding to 1031132200013 its reverse (3100022311301), we get a palindrome (4131154511314).

The spelling of 1031132200013 in words is "one trillion, thirty-one billion, one hundred thirty-two million, two hundred thousand, thirteen".

Divisors: 1 47 21938982979 1031132200013