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113805051000 = 23353181120947
BaseRepresentation
bin110100111111101001…
…1110100010001111000
3101212202021021121001220
41221333103310101320
53331033043113000
6124140433112040
711136123654414
oct1517723642170
9355667247056
10113805051000
114429aa91263
121a0810b8620
13a968912384
1457186abd44
152e611b01a0
hex1a7f4f4478

113805051000 has 128 divisors (see below), whose sum is σ = 355284783360. Its totient is φ = 30329808000.

The previous prime is 113805050951. The next prime is 113805051001. The reversal of 113805051000 is 150508311.

It is a super-2 number, since 2×1138050510002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113805051001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5422527 + ... + 5443473.

It is an arithmetic number, because the mean of its divisors is an integer number (2775662370).

Almost surely, 2113805051000 is an apocalyptic number.

113805051000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113805051000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177642391680).

113805051000 is an abundant number, since it is smaller than the sum of its proper divisors (241479732360).

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

113805051000 is a wasteful number, since it uses less digits than its factorization.

113805051000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22782 (or 22768 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 113805051000 its reverse (150508311), we get a palindrome (113955559311).

The spelling of 113805051000 in words is "one hundred thirteen billion, eight hundred five million, fifty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1811 3000 3622 5433 7244 9055 10866 14488 18110 20947 21732 27165 36220 41894 43464 45275 54330 62841 72440 83788 90550 104735 108660 125682 135825 167576 181100 209470 217320 226375 251364 271650 314205 362200 418940 452750 502728 523675 543300 628410 679125 837880 905500 1047350 1086600 1256820 1358250 1571025 1811000 2094700 2513640 2618375 2716500 3142050 4189400 5236750 5433000 6284100 7855125 10473500 12568200 15710250 20947000 31420500 37935017 62841000 75870034 113805051 151740068 189675085 227610102 303480136 379350170 455220204 569025255 758700340 910440408 948375425 1138050510 1517400680 1896750850 2276101020 2845126275 3793501700 4552202040 4741877125 5690252550 7587003400 9483754250 11380505100 14225631375 18967508500 22761010200 28451262750 37935017000 56902525500 113805051000