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113330201312232 = 233316330111069039
BaseRepresentation
bin11001110001001010111110…
…011001000011101111101000
3112212021021001120211201011000
4121301022332121003233220
5104323300223013442412
61041011101543235000
732604560015566302
oct3161127631035750
9485237046751130
10113330201312232
1133124083146043
121086419b148a60
134b30cb891b6c8
141ddb2d5028972
15d17ea2c574dc
hex6712be643be8

113330201312232 has 128 divisors (see below), whose sum is σ = 316842930432000. Its totient is φ = 37532470288320.

The previous prime is 113330201312213. The next prime is 113330201312239. The reversal of 113330201312232 is 232213102033311.

113330201312232 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 302 + 0 + 131 + 223 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 113330201312196 and 113330201312205.

It is not an unprimeable number, because it can be changed into a prime (113330201312239) 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, 105476769 + ... + 106545807.

It is an arithmetic number, because the mean of its divisors is an integer number (2475335394000).

Almost surely, 2113330201312232 is an apocalyptic number.

113330201312232 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 113330201312232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158421465216000).

113330201312232 is an abundant number, since it is smaller than the sum of its proper divisors (203512729119768).

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

113330201312232 is a wasteful number, since it uses less digits than its factorization.

113330201312232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072228 (or 1072218 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 113330201312232 its reverse (232213102033311), we get a palindrome (345543303345543).

The spelling of 113330201312232 in words is "one hundred thirteen trillion, three hundred thirty billion, two hundred one million, three hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3011 3912 4401 5868 6022 8802 9033 11736 12044 17604 18066 24088 27099 35208 36132 54198 72264 81297 108396 162594 216792 325188 490793 650376 981586 1069039 1472379 1963172 2138078 2944758 3207117 3926344 4276156 4417137 5889516 6414234 8552312 8834274 9621351 11779032 12828468 13251411 17668548 19242702 25656936 26502822 28864053 35337096 38485404 53005644 57728106 76970808 106011288 115456212 174253357 230912424 348506714 522760071 697013428 1045520142 1394026856 1568280213 2091040284 3136560426 3218876429 4182080568 4704840639 6273120852 6437752858 9409681278 9656629287 12546241704 12875505716 18819362556 19313258574 25751011432 28969887861 37638725112 38626517148 57939775722 77253034296 86909663583 115879551444 173819327166 231759102888 347638654332 524676857927 695277308664 1049353715854 1574030573781 2098707431708 3148061147562 4197414863416 4722091721343 6296122295124 9444183442686 12592244590248 14166275164029 18888366885372 28332550328058 37776733770744 56665100656116 113330201312232