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210133132020 = 223257924118047
BaseRepresentation
bin1100001110110011101…
…0010010001011110100
3202002101112120010102100
43003230322102023310
511420323040211040
6240311150142100
721116203102650
oct3035472221364
9662345503370
10210133132020
1181131747279
12348851b1930
1316a7a780896
14a255bbba60
1556ecd7db30
hex30ece922f4

210133132020 has 144 divisors (see below), whose sum is σ = 728580722688. Its totient is φ = 48022571520.

The previous prime is 210133131961. The next prime is 210133132049. The reversal of 210133132020 is 20231331012.

210133132020 is a `hidden beast` number, since 2 + 10 + 1 + 331 + 320 + 2 + 0 = 666.

210133132020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 210133131984 and 210133132002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11634637 + ... + 11652683.

It is an arithmetic number, because the mean of its divisors is an integer number (5059588352).

Almost surely, 2210133132020 is an apocalyptic number.

210133132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210133132020 is an abundant number, since it is smaller than the sum of its proper divisors (518447590668).

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

210133132020 is a wasteful number, since it uses less digits than its factorization.

210133132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27310 (or 27305 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 210133132020 its reverse (20231331012), we get a palindrome (230364463032).

The spelling of 210133132020 in words is "two hundred ten billion, one hundred thirty-three million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 9241 18047 18482 27723 36094 36964 46205 54141 55446 64687 72188 83169 90235 92410 108282 110892 126329 129374 138615 162423 166338 180470 184820 194061 216564 252658 258748 270705 277230 323435 324846 332676 360940 378987 388122 415845 505316 541410 554460 582183 631645 646870 649692 757974 776244 812115 831690 970305 1082820 1136961 1164366 1263290 1293740 1515948 1624230 1663380 1894935 1940610 2273922 2328732 2526580 2910915 3248460 3789870 3881220 4547844 5684805 5821830 7579740 11369610 11643660 22739220 166772327 333544654 500316981 667089308 833861635 1000633962 1167406289 1500950943 1667723270 2001267924 2334812578 2501584905 3001901886 3335446540 3502218867 4669625156 5003169810 5837031445 6003803772 7004437734 7504754715 10006339620 10506656601 11674062890 14008875468 15009509430 17511094335 21013313202 23348125780 30019018860 35022188670 42026626404 52533283005 70044377340 105066566010 210133132020