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211213132020 = 2232511563189473
BaseRepresentation
bin1100010010110101001…
…0001010000011110100
3202012011210202210220100
43010231102022003310
511430031030211040
6241010250234100
721155026000002
oct3045522120364
9665153683810
10211213132020
1181636341260
1234b26a25930
1316bc044b137
14a3193d1a72
155762ab3b30
hex312d48a0f4

211213132020 has 144 divisors (see below), whose sum is σ = 700168577472. Its totient is φ = 51111966720.

The previous prime is 211213132003. The next prime is 211213132033. The reversal of 211213132020 is 20231312112.

211213132020 is a `hidden beast` number, since 211 + 2 + 131 + 320 + 2 + 0 = 666.

It is a super-2 number, since 2×2112131320202 (a number of 23 digits) contains 22 as substring.

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 = 211213131984 and 211213132002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1020004 + ... + 1209476.

It is an arithmetic number, because the mean of its divisors is an integer number (4862281788).

Almost surely, 2211213132020 is an apocalyptic number.

211213132020 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 211213132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350084288736).

211213132020 is an abundant number, since it is smaller than the sum of its proper divisors (488955445452).

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

211213132020 is a wasteful number, since it uses less digits than its factorization.

211213132020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190062 (or 190057 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211213132020 its reverse (20231312112), we get a palindrome (231444444132).

The spelling of 211213132020 in words is "two hundred eleven billion, two hundred thirteen million, one hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 563 660 990 1126 1689 1980 2252 2815 3378 5067 5630 6193 6756 8445 10134 11260 12386 16890 18579 20268 24772 25335 30965 33780 37158 50670 55737 61930 74316 92895 101340 111474 123860 185790 189473 222948 278685 371580 378946 557370 568419 757892 947365 1114740 1136838 1705257 1894730 2084203 2273676 2842095 3410514 3789460 4168406 5684190 6252609 6821028 8336812 8526285 10421015 11368380 12505218 17052570 18757827 20842030 25010436 31263045 34105140 37515654 41684060 62526090 75031308 93789135 106673299 125052180 187578270 213346598 320019897 375156540 426693196 533366495 640039794 960059691 1066732990 1173406289 1280079588 1600099485 1920119382 2133465980 2346812578 3200198970 3520218867 3840238764 4693625156 4800298455 5867031445 6400397940 7040437734 9600596910 10560656601 11734062890 14080875468 17601094335 19201193820 21121313202 23468125780 35202188670 42242626404 52803283005 70404377340 105606566010 211213132020