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20331023211100 = 22527291533165327
BaseRepresentation
bin1001001111101101011110…
…11010101001101001011100
32122222121220222000221112101
410213312233122221221130
510131100413420223400
6111123535414214444
74165603464625660
oct447665732515134
978877828027471
1020331023211100
11652937a634a78
122344356654424
13b46290480794
145040536788a0
15253ccadd756a
hex127daf6a9a5c

20331023211100 has 144 divisors (see below), whose sum is σ = 52163791303680. Its totient is φ = 6729727737600.

The previous prime is 20331023211043. The next prime is 20331023211131. The reversal of 20331023211100 is 111232013302.

It is a congruent number.

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, 311186637 + ... + 311251963.

It is an arithmetic number, because the mean of its divisors is an integer number (362248550720).

Almost surely, 220331023211100 is an apocalyptic number.

20331023211100 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 20331023211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26081895651840).

20331023211100 is an abundant number, since it is smaller than the sum of its proper divisors (31832768092580).

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

20331023211100 is a wasteful number, since it uses less digits than its factorization.

20331023211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80708 (or 80701 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 20331023211100 its reverse (111232013302), we get a palindrome (20442255224402).

The spelling of 20331023211100 in words is "twenty trillion, three hundred thirty-one billion, twenty-three million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 100 116 140 145 175 203 290 350 406 580 700 725 812 1015 1450 2030 2900 4060 5075 10150 15331 20300 30662 61324 65327 76655 107317 130654 153310 214634 261308 306620 326635 383275 429268 444599 457289 536585 653270 766550 889198 914578 1073170 1306540 1533100 1633175 1778396 1829156 1894483 2146340 2222995 2286445 2682925 3112193 3266350 3788966 4445990 4572890 5365850 6224386 6532700 7577932 8891980 9145780 9472415 10731700 11114975 11432225 12448772 13261381 15560965 18944830 22229950 22864450 26522762 31121930 37889660 44459900 45728900 47362075 53045524 62243860 66306905 77804825 94724150 132613810 155609650 189448300 265227620 311219300 331534525 663069050 1001528237 1326138100 2003056474 4006112948 5007641185 7010697659 10015282370 14021395318 20030564740 25038205925 28042790636 29044318873 35053488295 50076411850 58088637746 70106976590 100152823700 116177275492 140213953180 145221594365 175267441475 203310232111 290443188730 350534882950 406620464222 580886377460 701069765900 726107971825 813240928444 1016551160555 1452215943650 2033102321110 2904431887300 4066204642220 5082755802775 10165511605550 20331023211100