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20321213232 = 2437333717209
BaseRepresentation
bin10010111011001111…
…010001101100110000
31221110012221120222010
4102323033101230300
5313104212310412
613200242042520
71316402314425
oct227317215460
957405846863
1020321213232
118688882301
123b31649440
131bbb0c2138
14daac1bd4c
157de06a33c
hex4bb3d1b30

20321213232 has 80 divisors (see below), whose sum is σ = 53376608480. Its totient is φ = 6660734976.

The previous prime is 20321213219. The next prime is 20321213243. The reversal of 20321213232 is 23231212302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20321213199 and 20321213208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1172244 + ... + 1189452.

It is an arithmetic number, because the mean of its divisors is an integer number (667207606).

Almost surely, 220321213232 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 20321213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26688304240).

20321213232 is an abundant number, since it is smaller than the sum of its proper divisors (33055395248).

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

20321213232 is a wasteful number, since it uses less digits than its factorization.

20321213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17630 (or 17624 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 20321213232 its reverse (23231212302), we get a palindrome (43552425534).

The spelling of 20321213232 in words is "twenty billion, three hundred twenty-one million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 337 438 584 674 876 1011 1168 1348 1752 2022 2696 3504 4044 5392 8088 16176 17209 24601 34418 49202 51627 68836 73803 98404 103254 137672 147606 196808 206508 275344 295212 393616 413016 590424 826032 1180848 1256257 2512514 3768771 5025028 5799433 7537542 10050056 11598866 15075084 17398299 20100112 23197732 30150168 34796598 46395464 60300336 69593196 92790928 139186392 278372784 423358609 846717218 1270075827 1693434436 2540151654 3386868872 5080303308 6773737744 10160606616 20321213232