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83412042011081 = 737223954436691
BaseRepresentation
bin10010111101110011100001…
…001000100101000111001001
3101221100010001121212012210022
4102331303201020211013021
541413110330223323311
6453222544010230225
723366215105514450
oct2275634110450711
9357303047765708
1083412042011081
1124639937193393
129431990125375
13377094ca83ca4
141685243085b97
15999b12d445db
hex4bdce12251c9

83412042011081 has 48 divisors (see below), whose sum is σ = 98416830597120. Its totient is φ = 69249571030080.

The previous prime is 83412042010937. The next prime is 83412042011119. The reversal of 83412042011081 is 18011024021438.

It is not a de Polignac number, because 83412042011081 - 210 = 83412042010057 is a prime.

It is a super-3 number, since 3×834120420110813 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (83412042017081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12466300946 + ... + 12466307636.

It is an arithmetic number, because the mean of its divisors is an integer number (2050350637440).

Almost surely, 283412042011081 is an apocalyptic number.

It is an amenable number.

83412042011081 is a deficient number, since it is larger than the sum of its proper divisors (15004788586039).

83412042011081 is a wasteful number, since it uses less digits than its factorization.

83412042011081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12454 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The spelling of 83412042011081 in words is "eighty-three trillion, four hundred twelve billion, forty-two million, eleven thousand, eighty-one".

Divisors: 1 7 37 239 259 1369 1673 5443 6691 8843 9583 38101 46837 61901 201391 247567 327191 1300877 1409737 1599149 1732969 2290337 7451467 9106139 9159979 11194043 36419113 48132449 52160269 59168513 64119853 254933791 336927143 414179591 1347507181 1780900613 2189234981 8704168007 9432550267 12466304291 15324644867 49857765697 60929176049 322054216259 349004359879 2254379513813 11916006001583 83412042011081