Search a number
-
+
1300020200031 = 37165740499227
BaseRepresentation
bin10010111010101111001…
…111100000001001011111
311121021120122100201110110
4102322233033200021133
5132244420132400111
62433115424341103
7162631466242530
oct22725717401137
94537518321413
101300020200031
11461376569833
1218bb52174793
139578c34a917
1446cc8126687
1523c3aab55a6
hex12eaf3e025f

1300020200031 has 32 divisors (see below), whose sum is σ = 1982883110400. Its totient is φ = 742156563456.

The previous prime is 1300020200023. The next prime is 1300020200033.

It is a happy number.

1300020200031 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1300020200031 - 23 = 1300020200023 is a prime.

It is a super-2 number, since 2×13000202000312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300020200033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140888440 + ... + 140897666.

It is an arithmetic number, because the mean of its divisors is an integer number (61965097200).

Almost surely, 21300020200031 is an apocalyptic number.

1300020200031 is a deficient number, since it is larger than the sum of its proper divisors (682862910369).

1300020200031 is a wasteful number, since it uses less digits than its factorization.

1300020200031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 1300020 and 200031, that added together give a palindrome (1500051).

The spelling of 1300020200031 in words is "one trillion, three hundred billion, twenty million, two hundred thousand, thirty-one".

Divisors: 1 3 7 21 1657 4049 4971 9227 11599 12147 27681 28343 34797 64589 85029 193767 6709193 15289139 20127579 37360123 45867417 46964351 107023973 112080369 140893053 261520861 321071919 784562583 61905723811 185717171433 433340066677 1300020200031