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211303222020 = 223351123233903
BaseRepresentation
bin1100010011001010100…
…1110100101100000100
3202012102002021212011000
43010302221310230010
511430222111101040
6241023225213300
721160201516032
oct3046251645404
9665362255130
10211303222020
1181682184200
1234b51031230
1316c06002027
14a327363552
15576a95c130
hex3132a74b04

211303222020 has 144 divisors (see below), whose sum is σ = 722583509760. Its totient is φ = 51225007680.

The previous prime is 211303221979. The next prime is 211303222027. The reversal of 211303222020 is 20222303112.

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 = 211303221984 and 211303222002.

It is not an unprimeable number, because it can be changed into a prime (211303222027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1551612 + ... + 1682291.

It is an arithmetic number, because the mean of its divisors is an integer number (5017941040).

Almost surely, 2211303222020 is an apocalyptic number.

211303222020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211303222020 is an abundant number, since it is smaller than the sum of its proper divisors (511280287740).

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

211303222020 is a wasteful number, since it uses less digits than its factorization.

211303222020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233943 (or 3233924 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 211303222020 its reverse (20222303112), we get a palindrome (231525525132).

The spelling of 211303222020 in words is "two hundred eleven billion, three hundred three million, two hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 121 132 135 165 180 198 220 242 270 297 330 363 396 484 495 540 594 605 660 726 990 1089 1188 1210 1452 1485 1815 1980 2178 2420 2970 3267 3630 4356 5445 5940 6534 7260 10890 13068 16335 21780 32670 65340 3233903 6467806 9701709 12935612 16169515 19403418 29105127 32339030 35572933 38806836 48508545 58210254 64678060 71145866 87315381 97017090 106718799 116420508 142291732 145525635 174630762 177864665 194034180 213437598 291051270 320156397 349261524 355729330 391302263 426875196 436576905 533593995 582102540 640312794 711458660 782604526 873153810 960469191 1067187990 1173906789 1280625588 1565209052 1600781985 1746307620 1920938382 1956511315 2134375980 2347813578 3201563970 3521720367 3841876764 3913022630 4695627156 4802345955 5869533945 6403127940 7043440734 7826045260 9604691910 10565161101 11739067890 14086881468 17608601835 19209383820 21130322202 23478135780 35217203670 42260644404 52825805505 70434407340 105651611010 211303222020