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20123023311321 = 37426930733829
BaseRepresentation
bin1001001001101010000011…
…01010000000000111011001
32122020202001002112020121120
410210311001222000013121
510114143422431430241
6110444220030355453
74144561163640000
oct444650152000731
978222032466546
1020123023311321
116459143064757
12230bb8795bb89
13b2c792954cc8
144d7d60d17c37
1524d6a5487666
hex124d41a801d9

20123023311321 has 80 divisors (see below), whose sum is σ = 31520244571200. Its totient is φ = 11418469824384.

The previous prime is 20123023311317. The next prime is 20123023311329. The reversal of 20123023311321 is 12311332032102.

It is not a de Polignac number, because 20123023311321 - 22 = 20123023311317 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20123023311291 and 20123023311300.

It is not an unprimeable number, because it can be changed into a prime (20123023311329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 594828435 + ... + 594862263.

It is an arithmetic number, because the mean of its divisors is an integer number (394003057140).

Almost surely, 220123023311321 is an apocalyptic number.

20123023311321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20123023311321 is a deficient number, since it is larger than the sum of its proper divisors (11397221259879).

20123023311321 is an equidigital number, since it uses as much as digits as its factorization.

20123023311321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34436 (or 34415 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 20123023311321 its reverse (12311332032102), we get a palindrome (32434355343423).

The spelling of 20123023311321 in words is "twenty trillion, one hundred twenty-three billion, twenty-three million, three hundred eleven thousand, three hundred twenty-one".

Divisors: 1 3 7 21 49 147 269 307 343 807 921 1029 1883 2149 2401 5649 6447 7203 13181 15043 33829 39543 45129 82583 92267 101487 105301 236803 247749 276801 315903 578081 645869 710409 737107 1657621 1734243 1937607 2211321 4046567 4972863 9100001 10385503 11603347 12139701 27300003 28325969 31156509 34810041 63700007 72698521 81223429 84977907 191100021 198281783 218095563 243670287 445900049 508889647 594845349 1337700147 1526668941 2793700307 3121300343 3562227529 8381100921 9363901029 10686682587 19555902149 21849102401 24935592703 58667706447 65547307203 74806778109 136891315043 410673945129 958239205301 2874717615903 6707674437107 20123023311321