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10400323013 is a prime number
BaseRepresentation
bin10011010111110100…
…00101010111000101
3222211211001011001122
421223322011113011
5132244440314023
64440003003325
7515505200303
oct115372052705
928754034048
1010400323013
114457790683
122023069545
13c99912ab2
147093ad273
1540d0d72c8
hex26be855c5

10400323013 has 2 divisors, whose sum is σ = 10400323014. Its totient is φ = 10400323012.

The previous prime is 10400322973. The next prime is 10400323093. The reversal of 10400323013 is 31032300401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8071584964 + 2328738049 = 89842^2 + 48257^2 .

It is an emirp because it is prime and its reverse (31032300401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10400323013 - 210 = 10400321989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10400322982 and 10400323000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10400323093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5200161506 + 5200161507.

It is an arithmetic number, because the mean of its divisors is an integer number (5200161507).

Almost surely, 210400323013 is an apocalyptic number.

It is an amenable number.

10400323013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10400323013 is an equidigital number, since it uses as much as digits as its factorization.

10400323013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10400323013 its reverse (31032300401), we get a palindrome (41432623414).

The spelling of 10400323013 in words is "ten billion, four hundred million, three hundred twenty-three thousand, thirteen".