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20132320130032 = 2411217614399577
BaseRepresentation
bin1001001001111011010111…
…10010100011001111110000
32122021122001000010120100111
410210331223302203033300
510114321442423130112
6110452354333431104
74145340442410505
oct444755362431760
978248030116314
1020132320130032
116462083957200
12231194133b494
13b30614a5b076
144d85a39154ac
1524da4b7455a7
hex124f6bca33f0

20132320130032 has 120 divisors (see below), whose sum is σ = 45404661915648. Its totient is φ = 8611268751360.

The previous prime is 20132320130009. The next prime is 20132320130057. The reversal of 20132320130032 is 23003102323102.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 20132320129985 and 20132320130012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202128628 + ... + 202228204.

Almost surely, 220132320130032 is an apocalyptic number.

20132320130032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132320130032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22702330957824).

20132320130032 is an abundant number, since it is smaller than the sum of its proper divisors (25272341785616).

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

20132320130032 is a wasteful number, since it uses less digits than its factorization.

20132320130032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105767 (or 105750 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 20132320130032 its reverse (23003102323102), we get a palindrome (43135422453134).

The spelling of 20132320130032 in words is "twenty trillion, one hundred thirty-two billion, three hundred twenty million, one hundred thirty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 121 136 176 187 242 272 374 484 748 968 1496 1936 2057 2992 4114 6143 8228 12286 16456 24572 32912 49144 67573 98288 99577 104431 135146 199154 208862 270292 398308 417724 540584 743303 796616 835448 1081168 1095347 1148741 1486606 1593232 1670896 1692809 2190694 2297482 2973212 3385618 4381388 4594964 5946424 6771236 8762776 9189928 11892848 12048817 12636151 13542472 17525552 18379856 18620899 24097634 25272302 27084944 37241798 48195268 50544604 74483596 96390536 101089208 148967192 192781072 202178416 204829889 297934384 409659778 611701511 819319556 1223403022 1638639112 2446806044 3277278224 4893612088 6728716621 9787224176 10398925687 13457433242 20797851374 26914866484 41595702748 53829732968 74015882831 83191405496 107659465936 114388182557 148031765662 166382810992 228776365114 296063531324 457552730228 592127062648 915105460456 1184254125296 1258270008127 1830210920912 2516540016254 5033080032508 10066160065016 20132320130032