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1031323014001 = 7237809370289
BaseRepresentation
bin11110000000111111010…
…01000101001101110001
310122121000200012101212201
433000133221011031301
5113344122142422001
62105441103223201
7134340100656400
oct17003751051561
93577020171781
101031323014001
11368421a55a25
12147a63ba7b01
137633a795b57
1437cb8483637
151bc615c9501
hexf01fa45371

1031323014001 has 24 divisors (see below), whose sum is σ = 1232296445160. Its totient is φ = 859980989952.

The previous prime is 1031323013983. The next prime is 1031323014023. The reversal of 1031323014001 is 1004103231301.

1031323014001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 683930654001 + 347392360000 = 827001^2 + 589400^2 .

It is not a de Polignac number, because 1031323014001 - 229 = 1030786143089 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1031323014001.

It is not an unprimeable number, because it can be changed into a prime (1031323014041) 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, 14637465 + ... + 14707753.

It is an arithmetic number, because the mean of its divisors is an integer number (51345685215).

Almost surely, 21031323014001 is an apocalyptic number.

It is an amenable number.

1031323014001 is a deficient number, since it is larger than the sum of its proper divisors (200973431159).

1031323014001 is an equidigital number, since it uses as much as digits as its factorization.

1031323014001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78433 (or 78426 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1031323014001 its reverse (1004103231301), we get a palindrome (2035426245302).

The spelling of 1031323014001 in words is "one trillion, thirty-one billion, three hundred twenty-three million, fourteen thousand, one".

Divisors: 1 7 37 49 259 1813 8093 56651 70289 299441 396557 492023 2096087 2600693 3444161 14672609 18204851 127433957 568848877 3981942139 21047408449 27873594973 147331859143 1031323014001