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13022400001 = 132588938693
BaseRepresentation
bin11000010000011001…
…00000111000000001
31020121112221110111011
430020030200320001
5203132213300001
65552111120521
7640464400522
oct141014407001
936545843434
1013022400001
115582894956
122635213141
1312c6c15640
148b771a849
155133c8d51
hex308320e01

13022400001 has 8 divisors (see below), whose sum is σ = 14025027240. Its totient is φ = 12019901952.

The previous prime is 13022399977. The next prime is 13022400019. The reversal of 13022400001 is 10000422031.

It can be written as a sum of positive squares in 4 ways, for example, as 5181120400 + 7841279601 = 71980^2 + 88551^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13022400001 - 217 = 13022268929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13022400031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 317211 + ... + 355903.

It is an arithmetic number, because the mean of its divisors is an integer number (1753128405).

Almost surely, 213022400001 is an apocalyptic number.

It is an amenable number.

13022400001 is a deficient number, since it is larger than the sum of its proper divisors (1002627239).

13022400001 is a wasteful number, since it uses less digits than its factorization.

13022400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64595.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 13022400001 its reverse (10000422031), we get a palindrome (23022822032).

The spelling of 13022400001 in words is "thirteen billion, twenty-two million, four hundred thousand, one".

Divisors: 1 13 25889 38693 336557 503009 1001723077 13022400001