Search a number
-
+
10022013134315 = 5713731012987441
BaseRepresentation
bin1001000111010110111010…
…0010000110010111101011
31022111002120022211100012022
42101311232202012113223
52303200040330244230
633152014350535055
72053031554035410
oct221655642062753
938432508740168
1010022013134315
113214348160706
12115a3bbb0748b
135790c19288a0
142690d492c107
15125a677b81e5
hex91d6e8865eb

10022013134315 has 64 divisors (see below), whose sum is σ = 15153070609152. Its totient is φ = 6194755584000.

The previous prime is 10022013134251. The next prime is 10022013134323. The reversal of 10022013134315 is 51343131022001.

It is not a de Polignac number, because 10022013134315 - 26 = 10022013134251 is a prime.

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 63 ways as a sum of consecutive naturals, for example, 1860995 + ... + 4848435.

It is an arithmetic number, because the mean of its divisors is an integer number (236766728268).

Almost surely, 210022013134315 is an apocalyptic number.

10022013134315 is a deficient number, since it is larger than the sum of its proper divisors (5131057474837).

10022013134315 is a wasteful number, since it uses less digits than its factorization.

10022013134315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987640.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 10022013134315 its reverse (51343131022001), we get a palindrome (61365144156316).

The spelling of 10022013134315 in words is "ten trillion, twenty-two billion, thirteen million, one hundred thirty-four thousand, three hundred fifteen".

Divisors: 1 5 7 13 35 65 73 91 101 365 455 505 511 707 949 1313 2555 3535 4745 6565 6643 7373 9191 33215 36865 45955 51611 95849 258055 479245 670943 2987441 3354715 14937205 20912087 38836733 104560435 194183665 218083193 271857131 301731541 1090415965 1359285655 1508657705 1526582351 2112120787 2835081509 3922510033 7632911755 10560603935 14175407545 19612550165 19845570563 22026402493 27457570231 99227852815 110132012465 137287851155 154184817451 286343232409 770924087255 1431716162045 2004402626863 10022013134315