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331121020312200 = 233521095063012543
BaseRepresentation
bin100101101001001110001111…
…0110010110001101010001000
31121102101212020020010121112110
41023102130132302301222020
5321400041322144442300
63132122521411142320
7126513463363461006
oct11322343662615210
91542355206117473
10331121020312200
11965616aa728208
123117957b8a49a0
131129b7694c6691
145baa4b2c89a76
15284333e6e9550
hex12d271ecb1a88

331121020312200 has 96 divisors (see below), whose sum is σ = 1035892366502400. Its totient is φ = 87488856725760.

The previous prime is 331121020312171. The next prime is 331121020312207. The reversal of 331121020312200 is 2213020121133.

It is a super-2 number, since 2×3311210203122002 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (331121020312207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2531440872 + ... + 2531571671.

It is an arithmetic number, because the mean of its divisors is an integer number (10790545484400).

Almost surely, 2331121020312200 is an apocalyptic number.

331121020312200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331121020312200 is an abundant number, since it is smaller than the sum of its proper divisors (704771346190200).

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

331121020312200 is a wasteful number, since it uses less digits than its factorization.

331121020312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5063012671 (or 5063012662 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 331121020312200 its reverse (2213020121133), we get a palindrome (333334040433333).

The spelling of 331121020312200 in words is "three hundred thirty-one trillion, one hundred twenty-one billion, twenty million, three hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 109 120 150 200 218 300 327 436 545 600 654 872 1090 1308 1635 2180 2616 2725 3270 4360 5450 6540 8175 10900 13080 16350 21800 32700 65400 5063012543 10126025086 15189037629 20252050172 25315062715 30378075258 40504100344 50630125430 60756150516 75945188145 101260250860 121512301032 126575313575 151890376290 202520501720 253150627150 303780752580 379725940725 506301254300 551868367187 607561505160 759451881450 1012602508600 1103736734374 1518903762900 1655605101561 2207473468748 2759341835935 3037807525800 3311210203122 4414946937496 5518683671870 6622420406244 8278025507805 11037367343740 13244840812488 13796709179675 16556051015610 22074734687480 27593418359350 33112102031220 41390127539025 55186836718700 66224204062440 82780255078050 110373673437400 165560510156100 331121020312200