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211302320220 = 22345259150341
BaseRepresentation
bin1100010011001010011…
…0011000100001011100
3202012102000121001010000
43010302212120201130
511430221343221340
6241023154014300
721160161041625
oct3046246304134
9665360531100
10211302320220
1181681718712
1234b50877390
1316c05a77714
14a3271aaa4c
15576a82ed30
hex313299885c

211302320220 has 120 divisors (see below), whose sum is σ = 663132210048. Its totient is φ = 56324419200.

The previous prime is 211302320189. The next prime is 211302320237. The reversal of 211302320220 is 22023203112.

211302320220 is a `hidden beast` number, since 21 + 1 + 302 + 320 + 2 + 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 = 211302320193 and 211302320202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4172250 + ... + 4222590.

Almost surely, 2211302320220 is an apocalyptic number.

211302320220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211302320220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331566105024).

211302320220 is an abundant number, since it is smaller than the sum of its proper divisors (451829889828).

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

211302320220 is a wasteful number, since it uses less digits than its factorization.

211302320220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52953 (or 52942 counting only the distinct ones).

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

Adding to 211302320220 its reverse (22023203112), we get a palindrome (233325523332).

The spelling of 211302320220 in words is "two hundred eleven billion, three hundred two million, three hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 2591 5182 7773 10364 12955 15546 23319 25910 31092 38865 46638 50341 51820 69957 77730 93276 100682 116595 139914 151023 155460 201364 209871 233190 251705 279828 302046 349785 419742 453069 466380 503410 604092 699570 755115 839484 906138 1006820 1049355 1359207 1399140 1510230 1812276 2098710 2265345 2718414 3020460 4077621 4197420 4530690 5436828 6796035 8155242 9061380 13592070 16310484 20388105 27184140 40776210 81552420 130433531 260867062 391300593 521734124 652167655 782601186 1173901779 1304335310 1565202372 1956502965 2347803558 2608670620 3521705337 3913005930 4695607116 5869508895 7043410674 7826011860 10565116011 11739017790 14086821348 17608526685 21130232022 23478035580 35217053370 42260464044 52825580055 70434106740 105651160110 211302320220