Search a number
-
+
106336535110 = 25133179569587
BaseRepresentation
bin110001100001000100…
…1101100001001000110
3101011110202221200022021
41203002021230021012
53220234123110420
6120503400553354
710453055430541
oct1430211541106
9334422850267
10106336535110
1141108224783
1218737a8285a
13a0485289c0
14520a833858
152b7569b7aa
hex18c226c246

106336535110 has 128 divisors (see below), whose sum is σ = 216218419200. Its totient is φ = 37385487360.

The previous prime is 106336535057. The next prime is 106336535113. The reversal of 106336535110 is 11535633601.

106336535110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1063365351102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106336535113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181152237 + ... + 181152823.

It is an arithmetic number, because the mean of its divisors is an integer number (1689206400).

Almost surely, 2106336535110 is an apocalyptic number.

106336535110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106336535110 is an abundant number, since it is smaller than the sum of its proper divisors (109881884090).

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

106336535110 is a wasteful number, since it uses less digits than its factorization.

106336535110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286.

The product of its (nonzero) digits is 24300, while the sum is 34.

The spelling of 106336535110 in words is "one hundred six billion, three hundred thirty-six million, five hundred thirty-five thousand, one hundred ten".

Divisors: 1 2 5 10 13 26 31 62 65 79 130 155 158 310 395 403 569 587 790 806 1027 1138 1174 2015 2054 2449 2845 2935 4030 4898 5135 5690 5870 7397 7631 10270 12245 14794 15262 17639 18197 24490 31837 35278 36394 36985 38155 44951 46373 63674 73970 76310 88195 89902 90985 92746 159185 176390 181970 224755 229307 231865 236561 318370 334003 449510 458614 463730 473122 584363 602849 668006 1146535 1168726 1182805 1205698 1393481 1437563 1670015 2293070 2365610 2786962 2875126 2921815 3014245 3340030 4342039 5843630 6028490 6967405 7187815 8684078 10354093 13934810 14375630 18115253 18688319 20708186 21710195 26386237 36230506 37376638 43420390 51770465 52772474 90576265 93441595 103540930 131931185 134603209 181152530 186883190 263862370 269206418 343021081 673016045 686042162 817973347 1346032090 1635946694 1715105405 3430210810 4089866735 8179733470 10633653511 21267307022 53168267555 106336535110