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211234031223220 = 225113331809349043
BaseRepresentation
bin110000000001110111000001…
…011001010100000110110100
31000200220202221211022200102001
4300001313001121110012310
5210141324243443120340
62025131324014225044
762331104132212315
oct6001670131240664
91020822854280361
10211234031223220
116133a938847125
121b8366a17b5184
1390b338c2cb575
143a23ad2c4660c
151964a3668829a
hexc01dc16541b4

211234031223220 has 96 divisors (see below), whose sum is σ = 449425200954240. Its totient is φ = 83389428756480.

The previous prime is 211234031223181. The next prime is 211234031223221. The reversal of 211234031223220 is 22322130432112.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211234031223221) 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, 605006019 + ... + 605355061.

It is an arithmetic number, because the mean of its divisors is an integer number (4681512509940).

Almost surely, 2211234031223220 is an apocalyptic number.

211234031223220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211234031223220 is an abundant number, since it is smaller than the sum of its proper divisors (238191169731020).

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

211234031223220 is a wasteful number, since it uses less digits than its factorization.

211234031223220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350305 (or 350303 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 211234031223220 its reverse (22322130432112), we get a palindrome (233556161655332).

The spelling of 211234031223220 in words is "two hundred eleven trillion, two hundred thirty-four billion, thirty-one million, two hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 113 226 331 452 565 662 809 1130 1324 1618 1655 2260 3236 3310 4045 6620 8090 16180 37403 74806 91417 149612 182834 187015 267779 349043 365668 374030 457085 535558 698086 748060 914170 1071116 1338895 1396172 1745215 1828340 2677790 3490430 5355580 6980860 30259027 39441859 60518054 78883718 115533233 121036108 151295135 157767436 197209295 231066466 282375787 302590270 394418590 462132932 564751574 577666165 605180540 788837180 1129503148 1155332330 1411878935 2310664660 2823757870 5647515740 13055255329 26110510658 31908463931 52221021316 63816927862 65276276645 93466385497 127633855724 130552553290 159542319655 186932770994 261105106580 319084639310 373865541988 467331927485 638169278620 934663854970 1869327709940 10561701561161 21123403122322 42246806244644 52808507805805 105617015611610 211234031223220