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211020331302320 = 2453721939983287
BaseRepresentation
bin101111111110101111111111…
…111000110011110110110000
31000200011100100201012220110212
4233332233333320303312300
5210124324114303133240
62024445222451243252
762306500345646051
oct5776577770636660
91020140321186425
10211020331302320
1161268246805651
121b8011a1ba9528
1390991938c8327
143a1761d482728
15195e1ca608165
hexbfebffe33db0

211020331302320 has 120 divisors (see below), whose sum is σ = 506853408618144. Its totient is φ = 81701295833088.

The previous prime is 211020331302301. The next prime is 211020331302323. The reversal of 211020331302320 is 23203133020112.

It is not an unprimeable number, because it can be changed into a prime (211020331302323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16145717 + ... + 26129003.

Almost surely, 2211020331302320 is an apocalyptic number.

211020331302320 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 211020331302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253426704309072).

211020331302320 is an abundant number, since it is smaller than the sum of its proper divisors (295833077315824).

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

211020331302320 is a wasteful number, since it uses less digits than its factorization.

211020331302320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9983567 (or 9983524 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 211020331302320 its reverse (23203133020112), we get a palindrome (234223464322432).

The spelling of 211020331302320 in words is "two hundred eleven trillion, twenty billion, three hundred thirty-one million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 193 296 370 386 592 740 772 965 1369 1480 1544 1930 2738 2960 3088 3860 5476 6845 7141 7720 10952 13690 14282 15440 21904 27380 28564 35705 54760 57128 71410 109520 114256 142820 264217 285640 528434 571280 1056868 1321085 2113736 2642170 4227472 5284340 9983287 10568680 19966574 21137360 39933148 49916435 79866296 99832870 159732592 199665740 369381619 399331480 738763238 798662960 1477526476 1846908095 1926774391 2955052952 3693816190 3853548782 5910105904 7387632380 7707097564 9633871955 13667119903 14775264760 15414195128 19267743910 27334239806 29550529520 30828390256 38535487820 54668479612 68335599515 71290652467 77070975640 109336959224 136671199030 142581304934 154141951280 218673918448 273342398060 285162609868 356453262335 546684796120 570325219736 712906524670 1093369592240 1140650439472 1425813049340 2637754141279 2851626098680 5275508282558 5703252197360 10551016565116 13188770706395 21102033130232 26377541412790 42204066260464 52755082825580 105510165651160 211020331302320