Search a number
-
+
20012110221020 = 225231132789138041
BaseRepresentation
bin1001000110011011011101…
…01110001000111011011100
32121212010202100222110211012
410203031232232020323130
510110334300204033040
6110321234142114352
74133553514140461
oct443155656107334
977763670873735
1020012110221020
1164160a7561365
1222b259327b9b8
13b2219822a3a8
144d283c76b668
1524a863129865
hex12336eb88edc

20012110221020 has 96 divisors (see below), whose sum is σ = 44256883628160. Its totient is φ = 7586272010240.

The previous prime is 20012110220987. The next prime is 20012110221041. The reversal of 20012110221020 is 2012201121002.

It is a junction number, because it is equal to n+sod(n) for n = 20012110220986 and 20012110221004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144903200 + ... + 145041240.

It is an arithmetic number, because the mean of its divisors is an integer number (461009204460).

Almost surely, 220012110221020 is an apocalyptic number.

20012110221020 is a gapful number since it is divisible by the number (20) 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 20012110221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128441814080).

20012110221020 is an abundant number, since it is smaller than the sum of its proper divisors (24244773407140).

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

20012110221020 is a wasteful number, since it uses less digits than its factorization.

20012110221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140975 (or 140973 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20012110221020 its reverse (2012201121002), we get a palindrome (22024311342022).

The spelling of 20012110221020 in words is "twenty trillion, twelve billion, one hundred ten million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 113 115 226 230 452 460 565 1130 2260 2599 2789 5198 5578 10396 11156 12995 13945 25990 27890 51980 55780 64147 128294 138041 256588 276082 315157 320735 552164 630314 641470 690205 1260628 1282940 1380410 1575785 2760820 3151570 3174943 6303140 6349886 7248611 12699772 14497222 15598633 15874715 28994444 31197266 31749430 36243055 62394532 63498860 72486110 77993165 144972220 155986330 311972660 358768559 384996349 717537118 769992698 1435074236 1539985396 1793842795 1924981745 3587685590 3849963490 7175371180 7699926980 8854916027 17709832054 35419664108 43504587437 44274580135 87009174874 88549160270 174018349748 177098320540 217522937185 435045874370 870091748740 1000605511051 2001211022102 4002422044204 5003027555255 10006055110510 20012110221020