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20021111211112 = 231153109112335069
BaseRepresentation
bin1001000110101100001110…
…01110001100010001101000
32121212222222122221010222121
410203112013032030101220
510111011213432223422
6110325323240401024
74134322541244214
oct443260716142150
977788878833877
1020021111211112
1164199a6369450
1222b4285776174
13b22ca0c6622b
144d3053d5d944
1524abdd44e8c7
hex12358738c468

20021111211112 has 128 divisors (see below), whose sum is σ = 42146452656000. Its totient is φ = 8838751933440.

The previous prime is 20021111211109. The next prime is 20021111211131. The reversal of 20021111211112 is 21111211112002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570888714 + ... + 570923782.

It is an arithmetic number, because the mean of its divisors is an integer number (329269161375).

Almost surely, 220021111211112 is an apocalyptic number.

20021111211112 is a gapful number since it is divisible by the number (22) 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 20021111211112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21073226328000).

20021111211112 is an abundant number, since it is smaller than the sum of its proper divisors (22125341444888).

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

20021111211112 is a wasteful number, since it uses less digits than its factorization.

20021111211112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36371 (or 36367 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 20021111211112 its reverse (21111211112002), we get a palindrome (41132322323114).

The spelling of 20021111211112 in words is "twenty trillion, twenty-one billion, one hundred eleven million, two hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 11 22 44 53 88 106 109 212 218 424 436 583 872 1123 1166 1199 2246 2332 2398 4492 4664 4796 5777 8984 9592 11554 12353 23108 24706 35069 46216 49412 59519 63547 70138 98824 119038 122407 127094 140276 238076 244814 254188 280552 385759 476152 489628 508376 654709 771518 979256 1309418 1346477 1543036 1858657 2618836 2692954 3086072 3717314 3822521 5237672 5385908 6487571 7434628 7645042 10771816 12975142 14869256 15290084 20445227 25950284 30580168 39382487 40890454 42047731 51900568 71363281 78764974 81780908 84095462 142726562 157529948 163561816 168190924 202593613 285453124 315059896 336381848 405187226 433207357 570906248 810374452 866414714 1620748904 1732829428 2087271811 2228529743 3465658856 4174543622 4292691083 4457059486 8349087244 8585382166 8914118972 16698174488 17170764332 17828237944 22959989921 34341528664 45919979842 47219601913 91839959684 94439203826 183679919368 188878407652 227512627399 377756815304 455025254798 910050509596 1820101019192 2502638901389 5005277802778 10010555605556 20021111211112