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331131002212200 = 233524711742234121
BaseRepresentation
bin100101101001010010111000…
…1110000101100111101101000
31121102102210222212211200010110
41023102211301300230331220
5321400222243031242300
63132131252110014320
7126514265631306201
oct11322456160547550
91542383885750113
10331131002212200
11965659621aa443
123117b4a67a73a0
131129c69a517498
145baab7c85a5a8
152843725bce550
hex12d2971c2cf68

331131002212200 has 96 divisors (see below), whose sum is σ = 1048346662412160. Its totient is φ = 86422843123200.

The previous prime is 331131002212189. The next prime is 331131002212201. The reversal of 331131002212200 is 2212200131133.

It is not an unprimeable number, because it can be changed into a prime (331131002212201) 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, 5871088861 + ... + 5871145260.

It is an arithmetic number, because the mean of its divisors is an integer number (10920277733460).

Almost surely, 2331131002212200 is an apocalyptic number.

331131002212200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331131002212200 is an abundant number, since it is smaller than the sum of its proper divisors (717215660199960).

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

331131002212200 is a wasteful number, since it uses less digits than its factorization.

331131002212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11742234187 (or 11742234178 counting only the distinct ones).

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

Adding to 331131002212200 its reverse (2212200131133), we get a palindrome (333343202343333).

The spelling of 331131002212200 in words is "three hundred thirty-one trillion, one hundred thirty-one billion, two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 47 50 60 75 94 100 120 141 150 188 200 235 282 300 376 470 564 600 705 940 1128 1175 1410 1880 2350 2820 3525 4700 5640 7050 9400 14100 28200 11742234121 23484468242 35226702363 46968936484 58711170605 70453404726 93937872968 117422341210 140906809452 176133511815 234844682420 281813618904 293555853025 352267023630 469689364840 551885003687 587111706050 704534047260 880667559075 1103770007374 1174223412100 1409068094520 1655655011061 1761335118150 2207540014748 2348446824200 2759425018435 3311310022122 3522670236300 4415080029496 5518850036870 6622620044244 7045340472600 8278275055305 11037700073740 13245240088488 13797125092175 16556550110610 22075400147480 27594250184350 33113100221220 41391375276525 55188500368700 66226200442440 82782750553050 110377000737400 165565501106100 331131002212200