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132122221020 = 223251855339563
BaseRepresentation
bin111101100001100011…
…0010001100111011100
3110122000211021020120100
41323003012101213130
54131041242033040
6140410205421100
712355053230436
oct1730306214734
9418024236510
10132122221020
115103a6051a9
122173356a790
13c5c7772a0a
14657529b656
153684319b30
hex1ec31919dc

132122221020 has 72 divisors (see below), whose sum is σ = 400802468976. Its totient is φ = 35229802752.

The previous prime is 132122221019. The next prime is 132122221027. The reversal of 132122221020 is 20122221231.

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

It is a junction number, because it is equal to n+sod(n) for n = 132122220984 and 132122221002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122221027) 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 23 ways as a sum of consecutive naturals, for example, 3319759 + ... + 3359321.

It is an arithmetic number, because the mean of its divisors is an integer number (5566700958).

Almost surely, 2132122221020 is an apocalyptic number.

132122221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132122221020 is an abundant number, since it is smaller than the sum of its proper divisors (268680247956).

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

132122221020 is a wasteful number, since it uses less digits than its factorization.

132122221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58131 (or 58126 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 132122221020 its reverse (20122221231), we get a palindrome (152244442251).

The spelling of 132122221020 in words is "one hundred thirty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 18553 37106 39563 55659 74212 79126 92765 111318 118689 158252 166977 185530 197815 222636 237378 278295 333954 356067 371060 395630 474756 556590 593445 667908 712134 791260 834885 1113180 1186890 1424268 1669770 1780335 2373780 3339540 3560670 7121340 734012339 1468024678 2202037017 2936049356 3670061695 4404074034 6606111051 7340123390 8808148068 11010185085 13212222102 14680246780 22020370170 26424444204 33030555255 44040740340 66061110510 132122221020