Search a number
-
+
20010123334336 = 261136174484419
BaseRepresentation
bin1001000110010111110000…
…10010110001001011000000
32121211221121220022011200111
410203023320102301023000
510110321213033144321
6110320305044201104
74133453336653102
oct443137022611300
977757556264614
1020010123334336
116415277a60a53
1222b2119999194
13b21c3c6c49b5
144d26d0927572
1524a7989a75e1
hex1232f84b12c0

20010123334336 has 56 divisors (see below), whose sum is σ = 40123917445680. Its totient is φ = 9900446932992.

The previous prime is 20010123334297. The next prime is 20010123334337. The reversal of 20010123334336 is 63343332101002.

It is a junction number, because it is equal to n+sod(n) for n = 20010123334298 and 20010123334307.

It is not an unprimeable number, because it can be changed into a prime (20010123334337) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2219935 + ... + 6704353.

Almost surely, 220010123334336 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 20010123334336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061958722840).

20010123334336 is an abundant number, since it is smaller than the sum of its proper divisors (20113794111344).

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

20010123334336 is a wasteful number, since it uses less digits than its factorization.

20010123334336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4485161 (or 4485151 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 31.

Adding to 20010123334336 its reverse (63343332101002), we get a palindrome (83353455435338).

The spelling of 20010123334336 in words is "twenty trillion, ten billion, one hundred twenty-three million, three hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 617 904 1234 1808 2468 3616 4936 7232 9872 19744 39488 69721 139442 278884 557768 1115536 2231072 4462144 4484419 8968838 17937676 35875352 71750704 143501408 287002816 506739347 1013478694 2026957388 2766886523 4053914776 5533773046 8107829552 11067546092 16215659104 22135092184 32431318208 44270184368 88540368736 177080737472 312658177099 625316354198 1250632708396 2501265416792 5002530833584 10005061667168 20010123334336