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220112112211020 = 223352161188623333
BaseRepresentation
bin110010000011000011011000…
…010000100101010001001100
31001212100111211112222222102000
4302003003120100211101030
5212322304101211223040
62100050035225232300
764235401222402461
oct6203033020452114
91055314745888360
10220112112211020
1164153028039937
122082b251032690
1395a8638544703
143c4d6a97ad668
151a6a94b698130
hexc830d842544c

220112112211020 has 96 divisors (see below), whose sum is σ = 685110128821440. Its totient is φ = 58669401185280.

The previous prime is 220112112211009. The next prime is 220112112211037. The reversal of 220112112211020 is 20112211211022.

220112112211020 is a `hidden beast` number, since 2 + 201 + 1 + 211 + 221 + 10 + 20 = 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 = 220112112210984 and 220112112211002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93144727 + ... + 95478606.

It is an arithmetic number, because the mean of its divisors is an integer number (7136563841890).

Almost surely, 2220112112211020 is an apocalyptic number.

220112112211020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220112112211020 is an abundant number, since it is smaller than the sum of its proper divisors (464998016610420).

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

220112112211020 is a wasteful number, since it uses less digits than its factorization.

220112112211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188625512 (or 188625504 counting only the distinct ones).

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

Adding to 220112112211020 its reverse (20112211211022), we get a palindrome (240224323422042).

The spelling of 220112112211020 in words is "two hundred twenty trillion, one hundred twelve billion, one hundred twelve million, two hundred eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2161 4322 6483 8644 10805 12966 19449 21610 25932 32415 38898 43220 58347 64830 77796 97245 116694 129660 194490 233388 291735 388980 583470 1166940 188623333 377246666 565869999 754493332 943116665 1131739998 1697609997 1886233330 2263479996 2829349995 3395219994 3772466660 5092829991 5658699990 6790439988 8488049985 10185659982 11317399980 16976099970 20371319964 25464149955 33952199940 50928299910 101856599820 407615022613 815230045226 1222845067839 1630460090452 2038075113065 2445690135678 3668535203517 4076150226130 4891380271356 6114225339195 7337070407034 8152300452260 11005605610551 12228450678390 14674140814068 18342676017585 22011211221102 24456901356780 36685352035170 44022422442204 55028028052755 73370704070340 110056056105510 220112112211020