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211021220220 = 223583172324593
BaseRepresentation
bin1100010010000111011…
…0000100100101111100
3202011200102122200101220
43010201312010211330
511424132413021340
6240535233033340
721150205530246
oct3044166044574
9664612580356
10211021220220
1181547a83068
1234a926b5850
1316b8c766465
14a2dbb17096
155750d05ed0
hex3121d8497c

211021220220 has 96 divisors (see below), whose sum is σ = 598349590272. Its totient is φ = 55559820288.

The previous prime is 211021220213. The next prime is 211021220227. The reversal of 211021220220 is 22022120112.

It is an interprime number because it is at equal distance from previous prime (211021220213) and next prime (211021220227).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211021220220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211021220227) by changing a digit.

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, 8568244 + ... + 8592836.

It is an arithmetic number, because the mean of its divisors is an integer number (6232808232).

Almost surely, 2211021220220 is an apocalyptic number.

211021220220 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 211021220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299174795136).

211021220220 is an abundant number, since it is smaller than the sum of its proper divisors (387328370052).

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

211021220220 is a wasteful number, since it uses less digits than its factorization.

211021220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26411 (or 26409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 211021220220 its reverse (22022120112), we get a palindrome (233043340332).

The spelling of 211021220220 in words is "two hundred eleven billion, twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 1723 2490 3446 4980 5169 6892 8615 10338 17230 20676 24593 25845 34460 49186 51690 73779 98372 103380 122965 143009 147558 245930 286018 295116 368895 429027 491860 572036 715045 737790 858054 1430090 1475580 1716108 2041219 2145135 2860180 4082438 4290270 6123657 8164876 8580540 10206095 12247314 20412190 24494628 30618285 40824380 42373739 61236570 84747478 122473140 127121217 169494956 211868695 254242434 423737390 508484868 635606085 847474780 1271212170 2542424340 3517020337 7034040674 10551061011 14068081348 17585101685 21102122022 35170203370 42204244044 52755305055 70340406740 105510610110 211021220220