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20322120132 = 22381495197
BaseRepresentation
bin10010111011010010…
…101111000111000100
31221110021122200000000
4102323102233013010
5313104430321012
613200313321300
71316413112436
oct227322570704
957407580000
1020322120132
118689341706
123b31a06230
131bbb34bb72
14daadb6656
157de198ddc
hex4bb4af1c4

20322120132 has 108 divisors (see below), whose sum is σ = 53711193900. Its totient is φ = 6727281984.

The previous prime is 20322120131. The next prime is 20322120139. The reversal of 20322120132 is 23102122302.

It can be written as a sum of positive squares in 2 ways, for example, as 5481033156 + 14841086976 = 74034^2 + 121824^2 .

It is a tau number, because it is divible by the number of its divisors (108).

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

It is not an unprimeable number, because it can be changed into a prime (20322120131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3907758 + ... + 3912954.

Almost surely, 220322120132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20322120132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26855596950).

20322120132 is an abundant number, since it is smaller than the sum of its proper divisors (33389073768).

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

20322120132 is an equidigital number, since it uses as much as digits as its factorization.

20322120132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5351 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20322120132 its reverse (23102122302), we get a palindrome (43424242434).

The spelling of 20322120132 in words is "twenty billion, three hundred twenty-two million, one hundred twenty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 149 162 243 298 324 447 486 596 729 894 972 1341 1458 1788 2187 2682 2916 4023 4374 5197 5364 6561 8046 8748 10394 12069 13122 15591 16092 20788 24138 26244 31182 36207 46773 48276 62364 72414 93546 108621 140319 144828 187092 217242 280638 325863 420957 434484 561276 651726 774353 841914 977589 1262871 1303452 1548706 1683828 1955178 2323059 2525742 3097412 3788613 3910356 4646118 5051484 6969177 7577226 9292236 11365839 13938354 15154452 20907531 22731678 27876708 34097517 41815062 45463356 62722593 68195034 83630124 125445186 136390068 188167779 250890372 376335558 564503337 752671116 1129006674 1693510011 2258013348 3387020022 5080530033 6774040044 10161060066 20322120132