Search a number
-
+
13022904195 = 345721076133
BaseRepresentation
bin11000010000011100…
…11011111110000011
31020121120220002010000
430020032123332003
5203132330413240
65552130011043
7640501600500
oct141016337603
936546802100
1013022904195
1155830a9744
122635416a83
1312c7060c92
148b780c4a7
15513478430
hex30839bf83

13022904195 has 120 divisors (see below), whose sum is σ = 27414416304. Its totient is φ = 5896727424.

The previous prime is 13022904163. The next prime is 13022904199. The reversal of 13022904195 is 59140922031.

13022904195 is a `hidden beast` number, since 13 + 0 + 229 + 0 + 419 + 5 = 666.

13022904195 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 13022904195 - 25 = 13022904163 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13022904199) 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 119 ways as a sum of consecutive naturals, for example, 2120349 + ... + 2126481.

Almost surely, 213022904195 is an apocalyptic number.

13022904195 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13022904195 is an abundant number, since it is smaller than the sum of its proper divisors (14391512109).

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

13022904195 is a wasteful number, since it uses less digits than its factorization.

13022904195 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6271 (or 6255 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13022904195 in words is "thirteen billion, twenty-two million, nine hundred four thousand, one hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 107 135 147 189 245 315 321 405 441 535 567 735 749 945 963 1323 1605 2205 2247 2835 2889 3745 3969 4815 5243 6133 6615 6741 8667 11235 14445 15729 18399 19845 20223 26215 30665 33705 42931 43335 47187 55197 60669 78645 91995 101115 128793 141561 165591 214655 235935 275985 300517 303345 386379 424683 496773 643965 656231 707805 827955 901551 1159137 1502585 1931895 1968693 2123415 2483865 2704653 3281155 3477411 4507755 4593617 5795685 5906079 8113959 9843465 13523265 13780851 17387055 17718237 22968085 24341877 29530395 32155319 40569795 41342553 53154711 68904255 88591185 96465957 121709385 124027659 160776595 206712765 265773555 289397871 372082977 482329785 620138295 868193613 1446989355 1860414885 2604580839 4340968065 13022904195