Search a number
-
+
10951907211 = 357191073167
BaseRepresentation
bin10100011001100100…
…01101011110001011
31001021020221112100000
422030302031132023
5134412142012321
65010425214043
7535253450430
oct121462153613
931236845300
1010951907211
11471007aa93
122157931323
131056c8938b
1475c751b87
1544173e826
hex28cc8d78b

10951907211 has 96 divisors (see below), whose sum is σ = 19926466560. Its totient is φ = 5871587616.

The previous prime is 10951907209. The next prime is 10951907233. The reversal of 10951907211 is 11270915901.

10951907211 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 10951907211 - 21 = 10951907209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10951907201) 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 95 ways as a sum of consecutive naturals, for example, 3456550 + ... + 3459716.

It is an arithmetic number, because the mean of its divisors is an integer number (207567360).

Almost surely, 210951907211 is an apocalyptic number.

10951907211 is a deficient number, since it is larger than the sum of its proper divisors (8974559349).

10951907211 is a wasteful number, since it uses less digits than its factorization.

10951907211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 36.

The spelling of 10951907211 in words is "ten billion, nine hundred fifty-one million, nine hundred seven thousand, two hundred eleven".

Divisors: 1 3 7 9 19 21 27 57 63 81 107 133 171 189 243 321 399 513 567 749 963 1197 1539 1701 2033 2247 2889 3167 3591 4617 6099 6741 8667 9501 10773 14231 18297 20223 22169 26001 28503 32319 42693 54891 60173 60669 66507 85509 128079 164673 180519 182007 199521 256527 338869 384237 421211 494019 541557 598563 769581 1016607 1152711 1263633 1624671 1795689 2372083 3049821 3458133 3790899 4874013 5387067 6438511 7116249 9149463 11372697 14622039 19315533 21348747 27448389 34118091 45069577 57946599 64046241 82345167 102354273 135208731 173839797 192138723 405626193 521519391 576416169 1216878579 1564558173 3650635737 10951907211