Search a number
-
+
109138083156 = 223317355710487
BaseRepresentation
bin110010110100100100…
…0101111110101010100
3101102201000120001202000
41211221020233311110
53242003322130111
6122045355515300
710612354254234
oct1455110576524
9342630501660
10109138083156
114231566a243
121919a158b30
13a3a3a7873b
1453d493bcc4
152c8b5dec56
hex196922fd54

109138083156 has 96 divisors (see below), whose sum is σ = 285124250880. Its totient is φ = 36100697472.

The previous prime is 109138083149. The next prime is 109138083169. The reversal of 109138083156 is 651380831901.

It is a happy number.

It is a super-2 number, since 2×1091380831562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10401745 + ... + 10412231.

It is an arithmetic number, because the mean of its divisors is an integer number (2970044280).

Almost surely, 2109138083156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109138083156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142562125440).

109138083156 is an abundant number, since it is smaller than the sum of its proper divisors (175986167724).

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

109138083156 is a wasteful number, since it uses less digits than its factorization.

109138083156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230 (or 11222 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 109138083156 in words is "one hundred nine billion, one hundred thirty-eight million, eighty-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 557 692 1038 1114 1557 1671 2076 2228 3114 3342 4671 5013 6228 6684 9342 10026 10487 15039 18684 20052 20974 30078 31461 41948 60156 62922 94383 96361 125844 188766 192722 283149 289083 377532 385444 566298 578166 867249 1132596 1156332 1734498 1814251 2601747 3468996 3628502 5203494 5442753 5841259 7257004 10406988 10885506 11682518 16328259 17523777 21771012 23365036 32656518 35047554 48984777 52571331 65313036 70095108 97969554 105142662 157713993 195939108 210285324 315427986 630855972 1010537807 2021075614 3031613421 4042151228 6063226842 9094840263 12126453684 18189680526 27284520789 36379361052 54569041578 109138083156