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132122052252 = 223219746340237
BaseRepresentation
bin111101100001100010…
…1101000011010011100
3110122000210221200001200
41323003011220122130
54131041221133002
6140410202035500
712355051625421
oct1730305503234
9418023850050
10132122052252
115103a4aa423
12217334a8b90
13c5c7713c58
146575255d48
1536842d4b1c
hex1ec316869c

132122052252 has 72 divisors (see below), whose sum is σ = 336403843776. Its totient is φ = 43721403264.

The previous prime is 132122052241. The next prime is 132122052253. The reversal of 132122052252 is 252250221231.

132122052252 is a `hidden beast` number, since 13 + 2 + 122 + 0 + 522 + 5 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132122052253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3263478 + ... + 3303714.

It is an arithmetic number, because the mean of its divisors is an integer number (4672275608).

Almost surely, 2132122052252 is an apocalyptic number.

132122052252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132122052252 is an abundant number, since it is smaller than the sum of its proper divisors (204281791524).

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

132122052252 is a wasteful number, since it uses less digits than its factorization.

132122052252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40907 (or 40902 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 132122052252 its reverse (252250221231), we get a palindrome (384372273483).

The spelling of 132122052252 in words is "one hundred thirty-two billion, one hundred twenty-two million, fifty-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 197 394 463 591 788 926 1182 1389 1773 1852 2364 2778 3546 4167 5556 7092 8334 16668 40237 80474 91211 120711 160948 182422 241422 273633 362133 364844 482844 547266 724266 820899 1094532 1448532 1641798 3283596 7926689 15853378 18629731 23780067 31706756 37259462 47560134 55889193 71340201 74518924 95120268 111778386 142680402 167667579 223556772 285360804 335335158 670670316 3670057007 7340114014 11010171021 14680228028 22020342042 33030513063 44040684084 66061026126 132122052252