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201231023112 = 23337239556859
BaseRepresentation
bin1011101101101001001…
…1011011110000001000
3201020102010200010202000
42323122103123300020
511244110120214422
6232235543111000
720352456321450
oct2733223336010
9636363603660
10201231023112
1178383737079
1232bbba42460
1315c8c386212
149a4d7a8d60
15537b58bcac
hex2eda4dbc08

201231023112 has 128 divisors (see below), whose sum is σ = 641502720000. Its totient is φ = 57253912128.

The previous prime is 201231023111. The next prime is 201231023159. The reversal of 201231023112 is 211320132102.

201231023112 is a `hidden beast` number, since 201 + 231 + 0 + 231 + 1 + 2 = 666.

201231023112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (201231023111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82939 + ... + 639797.

It is an arithmetic number, because the mean of its divisors is an integer number (5011740000).

Almost surely, 2201231023112 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 201231023112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320751360000).

201231023112 is an abundant number, since it is smaller than the sum of its proper divisors (440271696888).

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

201231023112 is a wasteful number, since it uses less digits than its factorization.

201231023112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557120 (or 557110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 201231023112 its reverse (211320132102), we get a palindrome (412551155214).

The spelling of 201231023112 in words is "two hundred one billion, two hundred thirty-one million, twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 239 252 378 478 504 717 756 956 1434 1512 1673 1912 2151 2868 3346 4302 5019 5736 6453 6692 8604 10038 12906 13384 15057 17208 20076 25812 30114 40152 45171 51624 60228 90342 120456 180684 361368 556859 1113718 1670577 2227436 3341154 3898013 4454872 5011731 6682308 7796026 10023462 11694039 13364616 15035193 15592052 20046924 23388078 30070386 31184104 35082117 40093848 46776156 60140772 70164234 93552312 105246351 120281544 133089301 140328468 210492702 266178602 280656936 399267903 420985404 532357204 798535806 841970808 931625107 1064714408 1197803709 1597071612 1863250214 2395607418 2794875321 3194143224 3593411127 3726500428 4791214836 5589750642 7186822254 7453000856 8384625963 9582429672 11179501284 14373644508 16769251926 22359002568 25153877889 28747289016 33538503852 50307755778 67077007704 100615511556 201231023112