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331141420304200 = 235211550727332273
BaseRepresentation
bin100101101001010111101111…
…0101110100100011101001000
31121102110210212221022120122201
41023102233132232210131020
5321400410112044213300
63132140133545525544
7126515115043524232
oct11322573656443510
91542423787276581
10331141420304200
119656a318a17130
12311815137a38b4
13112a066aa0c06c
145bab48a333252
152843b3562666a
hex12d2bdeba4748

331141420304200 has 96 divisors (see below), whose sum is σ = 840047601771360. Its totient is φ = 120393191705600.

The previous prime is 331141420304069. The next prime is 331141420304207. The reversal of 331141420304200 is 2403024141133.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (331141420304207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1550737 + ... + 25781536.

It is an arithmetic number, because the mean of its divisors is an integer number (8750495851785).

Almost surely, 2331141420304200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 331141420304200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420023800885680).

331141420304200 is an abundant number, since it is smaller than the sum of its proper divisors (508906181467160).

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

331141420304200 is a wasteful number, since it uses less digits than its factorization.

331141420304200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27337807 (or 27337798 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 331141420304200 its reverse (2403024141133), we get a palindrome (333544444445333).

The spelling of 331141420304200 in words is "three hundred thirty-one trillion, one hundred forty-one billion, four hundred twenty million, three hundred four thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 5507 11014 22028 27535 44056 55070 60577 110140 121154 137675 220280 242308 275350 302885 484616 550700 605770 1101400 1211540 1514425 2423080 3028850 6057700 12115400 27332273 54664546 109329092 136661365 218658184 273322730 300655003 546645460 601310006 683306825 1093290920 1202620012 1366613650 1503275015 2405240024 2733227300 3006550030 5466454600 6013100060 7516375075 12026200120 15032750150 30065500300 60131000600 150518827411 301037654822 602075309644 752594137055 1204150619288 1505188274110 1655707101521 3010376548220 3311414203042 3762970685275 6020753096440 6622828406084 7525941370550 8278535507605 13245656812168 15051882741100 16557071015210 30103765482200 33114142030420 41392677538025 66228284060840 82785355076050 165570710152100 331141420304200