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221211101120020 = 2251123355691229093
BaseRepresentation
bin110010010011000010111001…
…000110100100011000010100
31002000020120111222112000000221
4302103002321012210120110
5212443310313341320040
62102250551003444124
764410655206114034
oct6223027106443024
91060216458460027
10221211101120020
1164537112691230
122098823a226644
13965816a9cb48b
143c8a96287d8c4
151a8931d4c674a
hexc930b91a4614

221211101120020 has 96 divisors (see below), whose sum is σ = 528823494823680. Its totient is φ = 76940765890560.

The previous prime is 221211101119969. The next prime is 221211101120021. The reversal of 221211101120020 is 20021101112122.

It is a junction number, because it is equal to n+sod(n) for n = 221211101119976 and 221211101120003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221211101120021) by changing a digit.

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, 179364594 + ... + 180593686.

It is an arithmetic number, because the mean of its divisors is an integer number (5508578071080).

Almost surely, 2221211101120020 is an apocalyptic number.

221211101120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211101120020 is an abundant number, since it is smaller than the sum of its proper divisors (307612393703660).

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

221211101120020 is a wasteful number, since it uses less digits than its factorization.

221211101120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264705 (or 1264703 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 221211101120020 its reverse (20021101112122), we get a palindrome (241232202232142).

The spelling of 221211101120020 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 35569 71138 142276 177845 355690 391259 711380 782518 818087 1229093 1565036 1636174 1956295 2458186 3272348 3912590 4090435 4916372 6145465 7825180 8180870 8998957 12290930 13520023 16361740 17997914 24581860 27040046 28269139 35995828 44994785 54080092 56538278 67600115 89989570 113076556 135200230 141345695 179979140 270400460 282691390 310960529 565382780 621921058 1243842116 1554802645 3109605290 6219210580 43717608917 87435217834 174870435668 218588044585 437176089170 480893698087 874352178340 961787396174 1005505005091 1923574792348 2011010010182 2404468490435 4022020020364 4808936980870 5027525025455 9617873961740 10055050050910 11060555056001 20110100101820 22121110112002 44242220224004 55302775280005 110605550560010 221211101120020