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201214334112 = 253111131686229
BaseRepresentation
bin1011101101100101001…
…1110001010010100000
3201020100222021020201220
42323121103301102200
511244041332142422
6232234145255040
720352164422461
oct2733123612240
9636328236656
10201214334112
1178375278410
1232bb6334480
1315c88a91b7c
149a4b4a2d68
155379d91e5c
hex2ed94f14a0

201214334112 has 96 divisors (see below), whose sum is σ = 581304185280. Its totient is φ = 60434411520.

The previous prime is 201214334081. The next prime is 201214334119. The reversal of 201214334112 is 211433412102.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201214334119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 723787 + ... + 962442.

It is an arithmetic number, because the mean of its divisors is an integer number (6055251930).

Almost surely, 2201214334112 is an apocalyptic number.

201214334112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201214334112 is an abundant number, since it is smaller than the sum of its proper divisors (380089851168).

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

201214334112 is a wasteful number, since it uses less digits than its factorization.

201214334112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1686366 (or 1686358 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201214334112 its reverse (211433412102), we get a palindrome (412647746214).

The spelling of 201214334112 in words is "two hundred one billion, two hundred fourteen million, three hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 113 132 176 226 264 339 352 452 528 678 904 1056 1243 1356 1808 2486 2712 3616 3729 4972 5424 7458 9944 10848 14916 19888 29832 39776 59664 119328 1686229 3372458 5058687 6744916 10117374 13489832 18548519 20234748 26979664 37097038 40469496 53959328 55645557 74194076 80938992 111291114 148388152 161877984 190543877 222582228 296776304 381087754 445164456 571631631 593552608 762175508 890328912 1143263262 1524351016 1780657824 2095982647 2286526524 3048702032 4191965294 4573053048 6097404064 6287947941 8383930588 9146106096 12575895882 16767861176 18292212192 25151791764 33535722352 50303583528 67071444704 100607167056 201214334112