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13022000313 = 377916694703
BaseRepresentation
bin11000010000010101…
…11111010010111001
31020121112012011012220
430020022333102321
5203132113002223
65552054354253
7640461114330
oct141012772271
936545164186
1013022000313
115582641633
12263505b989
1312c6b0573a
148b7654d17
1551334a6e3
hex3082bf4b9

13022000313 has 32 divisors (see below), whose sum is σ = 20110540800. Its totient is φ = 7340988096.

The previous prime is 13022000281. The next prime is 13022000347. The reversal of 13022000313 is 31300022031.

13022000313 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 13022000313 - 25 = 13022000281 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13022000292 and 13022000301.

It is not an unprimeable number, because it can be changed into a prime (13022001313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2766520 + ... + 2771222.

It is an arithmetic number, because the mean of its divisors is an integer number (628454400).

Almost surely, 213022000313 is an apocalyptic number.

It is an amenable number.

13022000313 is a deficient number, since it is larger than the sum of its proper divisors (7088540487).

13022000313 is a wasteful number, since it uses less digits than its factorization.

13022000313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 13022000313 its reverse (31300022031), we get a palindrome (44322022344).

The spelling of 13022000313 in words is "thirteen billion, twenty-two million, three hundred thirteen", and thus it is an aban number.

Divisors: 1 3 7 21 79 237 553 1659 1669 4703 5007 11683 14109 32921 35049 98763 131851 371537 395553 922957 1114611 2600759 2768871 7802277 7849307 23547921 54945149 164835447 620095253 1860285759 4340666771 13022000313