Search a number
-
+
20323112130 = 23252910971437
BaseRepresentation
bin10010111011010110…
…100001010011000010
31221110100112001202200
4102323112201103002
5313110204042010
613200350454030
71316424413526
oct227326412302
957410461680
1020323112130
118689959a42
123b32204316
131bbb608549
14dab193d86
157de2e2cc0
hex4bb5a14c2

20323112130 has 96 divisors (see below), whose sum is σ = 55164423600. Its totient is φ = 5184539136.

The previous prime is 20323112123. The next prime is 20323112149. The reversal of 20323112130 is 3121132302.

It can be written as a sum of positive squares in 8 ways, for example, as 13848817761 + 6474294369 = 117681^2 + 80463^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248772 + ... + 320208.

Almost surely, 220323112130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20323112130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27582211800).

20323112130 is an abundant number, since it is smaller than the sum of its proper divisors (34841311470).

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

20323112130 is a wasteful number, since it uses less digits than its factorization.

20323112130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71588 (or 71585 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20323112130 its reverse (3121132302), we get a palindrome (23444244432).

The spelling of 20323112130 in words is "twenty billion, three hundred twenty-three million, one hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 109 145 174 218 261 290 327 435 522 545 654 870 981 1090 1305 1635 1962 2610 3161 3270 4905 6322 9483 9810 15805 18966 28449 31610 47415 56898 71437 94830 142245 142874 214311 284490 357185 428622 642933 714370 1071555 1285866 2071673 2143110 3214665 4143346 6215019 6429330 7786633 10358365 12430038 15573266 18645057 20716730 23359899 31075095 37290114 38933165 46719798 62150190 70079697 77866330 93225285 116799495 140159394 186450570 225812357 233598990 350398485 451624714 677437071 700796970 1129061785 1354874142 2032311213 2258123570 3387185355 4064622426 6774370710 10161556065 20323112130