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201120020112 = 24311419909091
BaseRepresentation
bin1011101101001110101…
…1111111011010010000
3201020010101210121020210
42323103223333122100
511243343211120422
6232220540004120
720346640651524
oct2732353773220
9636111717223
10201120020112
117832700a960
1232b8a830640
1315c7238c47b
149a3cb51d84
15537196210c
hex2ed3aff690

201120020112 has 80 divisors (see below), whose sum is σ = 568146136320. Its totient is φ = 60799939200.

The previous prime is 201120020111. The next prime is 201120020173. The reversal of 201120020112 is 211020021102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (201120020111) 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 15 ways as a sum of consecutive naturals, for example, 233314 + ... + 675777.

It is an arithmetic number, because the mean of its divisors is an integer number (7101826704).

Almost surely, 2201120020112 is an apocalyptic number.

201120020112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

201120020112 is an abundant number, since it is smaller than the sum of its proper divisors (367026116208).

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

201120020112 is a wasteful number, since it uses less digits than its factorization.

201120020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909532 (or 909526 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 201120020112 its reverse (211020021102), we get a palindrome (412140041214).

It can be divided in two parts, 2011200 and 20112, that multiplied together give a square (40449254400 = 2011202).

The spelling of 201120020112 in words is "two hundred one billion, one hundred twenty million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 419 528 838 1257 1676 2514 3352 4609 5028 6704 9218 10056 13827 18436 20112 27654 36872 55308 73744 110616 221232 909091 1818182 2727273 3636364 5454546 7272728 10000001 10909092 14545456 20000002 21818184 30000003 40000004 43636368 60000006 80000008 120000012 160000016 240000024 380909129 480000048 761818258 1142727387 1523636516 2285454774 3047273032 4190000419 4570909548 6094546064 8380000838 9141819096 12570001257 16760001676 18283638192 25140002514 33520003352 50280005028 67040006704 100560010056 201120020112