Search a number
-
+
13023313102002 = 2372994711290787
BaseRepresentation
bin1011110110000011100111…
…1100111000010010110010
31201010000110002012211001210
42331200321330320102302
53201333221123231002
643410454421140550
72512621560606660
oct275407174702262
951100402184053
1013023313102002
114171179802345
12156400925a756
13736129881b28
14330490337c30
15178b761e296c
hexbd839f384b2

13023313102002 has 64 divisors (see below), whose sum is σ = 30826561029120. Its totient is φ = 3588844074816.

The previous prime is 13023313101971. The next prime is 13023313102087. The reversal of 13023313102002 is 20020131332031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 13023313102002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4491948 + ... + 6798839.

It is an arithmetic number, because the mean of its divisors is an integer number (481665016080).

Almost surely, 213023313102002 is an apocalyptic number.

13023313102002 is an abundant number, since it is smaller than the sum of its proper divisors (17803247927118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13023313102002 is a wasteful number, since it uses less digits than its factorization.

13023313102002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291775.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13023313102002 its reverse (20020131332031), we get a palindrome (33043444434033).

The spelling of 13023313102002 in words is "thirteen trillion, twenty-three billion, three hundred thirteen million, one hundred two thousand, two".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 174 203 406 609 947 1218 1894 2841 5682 6629 13258 19887 27463 39774 54926 82389 164778 192241 384482 576723 1153446 11290787 22581574 33872361 67744722 79035509 158071018 237106527 327432823 474213054 654865646 982298469 1964596938 2292029761 4584059522 6876089283 10692375289 13752178566 21384750578 32077125867 64154251734 74846627023 149693254046 224539881069 310078883381 449079762138 620157766762 930236650143 1860473300286 2170552183667 4341104367334 6511656551001 13023313102002