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211133232020 = 2252331136710831
BaseRepresentation
bin1100010010100010000…
…1010111001110010100
3202011222020102110201002
43010220201113032110
511424400101411040
6240554313522432
721153035601254
oct3045041271624
9664866373632
10211133232020
11815a52291a7
1234b04113418
1316ba9a24429
14a30c953964
15575aa7ea15
hex3128857394

211133232020 has 96 divisors (see below), whose sum is σ = 477975085056. Its totient is φ = 78111158400.

The previous prime is 211133232019. The next prime is 211133232031. The reversal of 211133232020 is 20232331112.

It is a super-2 number, since 2×2111332320202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 211133231983 and 211133232001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19488005 + ... + 19498835.

It is an arithmetic number, because the mean of its divisors is an integer number (4978907136).

Almost surely, 2211133232020 is an apocalyptic number.

211133232020 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 211133232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238987542528).

211133232020 is an abundant number, since it is smaller than the sum of its proper divisors (266841853036).

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

211133232020 is a wasteful number, since it uses less digits than its factorization.

211133232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12261 (or 12259 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 211133232020 its reverse (20232331112), we get a palindrome (231365563132).

The spelling of 211133232020 in words is "two hundred eleven billion, one hundred thirty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1367 1426 2734 2852 3565 5468 6835 7130 10831 13670 14260 21662 27340 31441 42377 43324 54155 62882 84754 108310 125764 157205 169508 211885 216620 249113 314410 335761 423770 498226 628820 671522 847540 974671 996452 1245565 1343044 1678805 1949342 2491130 3357610 3898684 4873355 4982260 6715220 7722503 9746710 14805977 15445006 19493420 29611954 30890012 38612515 59223908 74029885 77225030 148059770 154450060 296119540 340537471 458985287 681074942 917970574 1362149884 1702687355 1835941148 2294926435 3405374710 4589852870 6810749420 9179705740 10556661601 21113323202 42226646404 52783308005 105566616010 211133232020