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82221203112 = 2336751132589
BaseRepresentation
bin100110010010011000…
…0111111111010101000
321212020010200212211220
41030210300333322220
52321342111444422
6101434421422040
75640342460266
oct1144460777250
9255203625756
1082221203112
11319627a8934
1213b2786a920
1379a437b399
143d9db75436
1522134c7e5c
hex1324c3fea8

82221203112 has 32 divisors (see below), whose sum is σ = 208620967200. Its totient is φ = 26998006464.

The previous prime is 82221203111. The next prime is 82221203131. The reversal of 82221203112 is 21130212228.

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 (82221203111) 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 7 ways as a sum of consecutive naturals, for example, 25564687 + ... + 25567902.

It is an arithmetic number, because the mean of its divisors is an integer number (6519405225).

Almost surely, 282221203112 is an apocalyptic number.

It is an amenable number.

82221203112 is an abundant number, since it is smaller than the sum of its proper divisors (126399764088).

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

82221203112 is a wasteful number, since it uses less digits than its factorization.

82221203112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51132665 (or 51132661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The spelling of 82221203112 in words is "eighty-two billion, two hundred twenty-one million, two hundred three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1608 51132589 102265178 153397767 204530356 306795534 409060712 613591068 1227182136 3425883463 6851766926 10277650389 13703533852 20555300778 27407067704 41110601556 82221203112