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1031023300013 = 72128930195407
BaseRepresentation
bin11110000000011011100…
…01110000110110101101
310122120020210020100120122
433000031301300312231
5113343013431100023
62105351235254325
7134326501310600
oct17001561606655
93576223210518
101031023300013
11368288857413
1214799b74a3a5
13762c06682b5
1437c8a746337
151bc451252c8
hexf00dc70dad

1031023300013 has 24 divisors (see below), whose sum is σ = 1200903724800. Its totient is φ = 882592901568.

The previous prime is 1031023299991. The next prime is 1031023300039. The reversal of 1031023300013 is 3100033201301.

1031023300013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1031023300013 - 26 = 1031023299949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1031023299964 and 1031023300000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031023300063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190680356 + ... + 190685762.

It is an arithmetic number, because the mean of its divisors is an integer number (50037655200).

Almost surely, 21031023300013 is an apocalyptic number.

It is an amenable number.

1031023300013 is a deficient number, since it is larger than the sum of its proper divisors (169880424787).

1031023300013 is a wasteful number, since it uses less digits than its factorization.

1031023300013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9729 (or 9722 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 1031023300013 its reverse (3100033201301), we get a palindrome (4131056501314).

The spelling of 1031023300013 in words is "one trillion, thirty-one billion, twenty-three million, three hundred thousand, thirteen".

Divisors: 1 7 49 1289 3019 5407 9023 21133 37849 63161 147931 264943 3891491 6969623 16323733 27240437 48787361 114266131 190683059 341511527 799862917 21041291837 147289042859 1031023300013