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113000856336 = 243210922572
BaseRepresentation
bin110100100111101100…
…0000011101100010000
3101210200020001021101100
41221033120003230100
53322411204400321
6123524544304400
711110160300514
oct1511730035420
9353606037340
10113000856336
1143a18045975
1219a97912100
13a86b121144
14567d970144
152e157aa326
hex1a4f603b10

113000856336 has 135 divisors (see below), whose sum is σ = 320420156511. Its totient is φ = 37176164352.

The previous prime is 113000856299. The next prime is 113000856343. The reversal of 113000856336 is 633658000311.

It is a happy number.

The square root of 113000856336 is 336156.

It is a perfect power (a square), and thus also a powerful number.

113000856336 is a `hidden beast` number, since 1 + 13 + 0 + 0 + 0 + 8 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65239376400 + 47761479936 = 255420^2 + 218544^2 .

It is a super-2 number, since 2×1130008563362 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113000856336.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 439691920 + ... + 439692176.

Almost surely, 2113000856336 is an apocalyptic number.

113000856336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113000856336 is the 336156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113000856336

113000856336 is an abundant number, since it is smaller than the sum of its proper divisors (207419300175).

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

113000856336 is an equidigital number, since it uses as much as digits as its factorization.

113000856336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 113000856336 by its sum of digits (36), we get a square (4068030828096 = 20169362).

113000856336 divided by its sum of digits (36) gives a square (3138912676 = 560262).

Adding to 113000856336 its reverse (633658000311), we get a palindrome (746658856647).

The spelling of 113000856336 in words is "one hundred thirteen billion, eight hundred fifty-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 257 327 436 514 654 771 872 981 1028 1308 1542 1744 1962 2056 2313 2616 3084 3924 4112 4626 5232 6168 7848 9252 11881 12336 15696 18504 23762 28013 35643 37008 47524 56026 66049 71286 84039 95048 106929 112052 132098 142572 168078 190096 198147 213858 224104 252117 264196 285144 336156 396294 427716 448208 504234 528392 570288 594441 672312 792588 855432 1008468 1056784 1188882 1344624 1585176 1710864 2016936 2377764 3053417 3170352 4033872 4755528 6106834 7199341 9160251 9511056 12213668 14398682 18320502 21598023 24427336 27480753 28797364 36641004 43196046 48854672 54961506 57594728 64794069 73282008 86392092 109923012 115189456 129588138 146564016 172784184 219846024 259176276 345568368 439692048 518352552 784728169 1036705104 1569456338 2354184507 3138912676 4708369014 6277825352 7062553521 9416738028 12555650704 14125107042 18833476056 28250214084 37666952112 56500428168 113000856336