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22011121112220 = 2233561668218613
BaseRepresentation
bin1010000000100110111010…
…00011100001010010011100
32212221020112212122101121000
411000103131003201102130
510341112234001042340
6114451434111110300
74431152046305442
oct500233503412234
985836485571530
1022011121112220
117016956048059
122575a9bb12390
13c38841898986
145614b5b06b92
1528285e377d30
hex1404dd0e149c

22011121112220 has 96 divisors (see below), whose sum is σ = 69601650834240. Its totient is φ = 5773408807680.

The previous prime is 22011121112171. The next prime is 22011121112231. The reversal of 22011121112220 is 2221112111022.

22011121112220 is a `hidden beast` number, since 220 + 1 + 1 + 1 + 211 + 12 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22011121112193 and 22011121112202.

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, 334076367 + ... + 334142246.

It is an arithmetic number, because the mean of its divisors is an integer number (725017196190).

Almost surely, 222011121112220 is an apocalyptic number.

22011121112220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22011121112220 is an abundant number, since it is smaller than the sum of its proper divisors (47590529722020).

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

22011121112220 is a wasteful number, since it uses less digits than its factorization.

22011121112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668218692 (or 668218684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 22011121112220 its reverse (2221112111022), we get a palindrome (24232233223242).

The spelling of 22011121112220 in words is "twenty-two trillion, eleven billion, one hundred twenty-one million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 61 90 108 122 135 180 183 244 270 305 366 540 549 610 732 915 1098 1220 1647 1830 2196 2745 3294 3660 5490 6588 8235 10980 16470 32940 668218613 1336437226 2004655839 2672874452 3341093065 4009311678 6013967517 6682186130 8018623356 10023279195 12027935034 13364372260 18041902551 20046558390 24055870068 30069837585 36083805102 40093116780 40761335393 60139675170 72167610204 81522670786 90209512755 120279350340 122284006179 163045341572 180419025510 203806676965 244568012358 360838051020 366852018537 407613353930 489136024716 611420030895 733704037074 815226707860 1100556055611 1222840061790 1467408074148 1834260092685 2201112111222 2445680123580 3668520185370 4402224222444 5502780278055 7337040370740 11005560556110 22011121112220