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113533320252 = 223111924158111
BaseRepresentation
bin110100110111100011…
…1001111110000111100
3101212001022222020120010
41221233013033300330
53330004012222002
6124053445023220
711126314204452
oct1515707176074
9355038866503
10113533320252
11441706659a0
121a0060b4b10
13a924531851
1456d05769d2
152e473d746c
hex1a6f1cfc3c

113533320252 has 144 divisors (see below), whose sum is σ = 312449163264. Its totient is φ = 31797792000.

The previous prime is 113533320223. The next prime is 113533320259. The reversal of 113533320252 is 252023335311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113533320259) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1924677 + ... + 1982787.

It is an arithmetic number, because the mean of its divisors is an integer number (2169785856).

Almost surely, 2113533320252 is an apocalyptic number.

113533320252 is a gapful number since it is divisible by the number (12) 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 113533320252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156224581632).

113533320252 is an abundant number, since it is smaller than the sum of its proper divisors (198915843012).

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

113533320252 is a wasteful number, since it uses less digits than its factorization.

113533320252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58208 (or 58187 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

Adding to 113533320252 its reverse (252023335311), we get a palindrome (365556655563).

The spelling of 113533320252 in words is "one hundred thirteen billion, five hundred thirty-three million, three hundred twenty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 41 44 57 66 76 82 114 123 132 164 209 228 246 361 418 451 492 627 722 779 836 902 1083 1254 1353 1444 1558 1804 2166 2337 2508 2706 3116 3971 4332 4674 5412 7942 8569 9348 11913 14801 15884 17138 23826 25707 29602 34276 44403 47652 51414 58111 59204 88806 102828 116222 162811 174333 177612 232444 325622 348666 488433 639221 651244 697332 976866 1104109 1278442 1917663 1953732 2208218 2382551 2556884 3312327 3835326 4416436 4765102 6624654 7147653 7670652 9530204 12145199 13249308 14295306 20978071 24290398 26208061 28590612 36435597 41956142 45268469 48580796 52416122 62934213 72871194 78624183 83912284 90536938 104832244 125868426 135805407 145742388 157248366 181073876 230758781 251736852 271610814 314496732 461517562 497953159 543221628 692276343 860100911 923035124 995906318 1384552686 1493859477 1720201822 1991812636 2580302733 2769105372 2987718954 3440403644 5160605466 5975437908 9461110021 10321210932 18922220042 28383330063 37844440084 56766660126 113533320252