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85101219 = 3372319577
BaseRepresentation
bin1010001001010…
…00101010100011
312221010120221000
411010220222203
5133241214334
612240003043
72052230340
oct504505243
9187116830
1085101219
1144045895
1224600483
1314828268
14b4337c7
157710299
hex5128aa3

85101219 has 32 divisors (see below), whose sum is σ = 150359040. Its totient is φ = 46512576.

The previous prime is 85101157. The next prime is 85101229. The reversal of 85101219 is 91210158.

It is not a de Polignac number, because 85101219 - 211 = 85099171 is a prime.

It is a super-2 number, since 2×851012192 = 14484434950571922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 85101192 and 85101201.

It is not an unprimeable number, because it can be changed into a prime (85101229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5442 + ... + 14135.

It is an arithmetic number, because the mean of its divisors is an integer number (4698720).

Almost surely, 285101219 is an apocalyptic number.

85101219 is a deficient number, since it is larger than the sum of its proper divisors (65257821).

85101219 is a wasteful number, since it uses less digits than its factorization.

85101219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19616 (or 19610 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 85101219 is about 9225.0321950658. The cubic root of 85101219 is about 439.8574245356.

The spelling of 85101219 in words is "eighty-five million, one hundred one thousand, two hundred nineteen".

Divisors: 1 3 7 9 21 23 27 63 69 161 189 207 483 621 1449 4347 19577 58731 137039 176193 411117 450271 528579 1233351 1350813 3151897 3700053 4052439 9455691 12157317 28367073 85101219