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211105343020 = 2251113187339409
BaseRepresentation
bin1100010010011011011…
…0111110011000101100
3202011220021221120012011
43010212312332120230
511424320431434040
6240551440051004
721152246544235
oct3044666763054
9664807846164
10211105343020
118159050a840
1234ab6903a64
1316ba400b270
14a308d7408c
1557583c13ea
hex3126dbe62c

211105343020 has 96 divisors (see below), whose sum is σ = 521116223040. Its totient is φ = 70820904960.

The previous prime is 211105342993. The next prime is 211105343027. The reversal of 211105343020 is 20343501112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 211105342982 and 211105343000.

It is not an unprimeable number, because it can be changed into a prime (211105343027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337076 + ... + 5376484.

It is an arithmetic number, because the mean of its divisors is an integer number (5428293990).

Almost surely, 2211105343020 is an apocalyptic number.

211105343020 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 211105343020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260558111520).

211105343020 is an abundant number, since it is smaller than the sum of its proper divisors (310010880020).

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

211105343020 is a wasteful number, since it uses less digits than its factorization.

211105343020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41315 (or 41313 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 211105343020 its reverse (20343501112), we get a palindrome (231448844132).

The spelling of 211105343020 in words is "two hundred eleven billion, one hundred five million, three hundred forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 1873 2860 3746 7492 9365 18730 20603 24349 37460 39409 41206 48698 78818 82412 97396 103015 121745 157636 197045 206030 243490 267839 394090 412060 433499 486980 512317 535678 788180 866998 1024634 1071356 1339195 1733996 2049268 2167495 2561585 2678390 4334990 5123170 5356780 5635487 8669980 10246340 11270974 22541948 28177435 56354870 73813057 112709740 147626114 295252228 369065285 738130570 811943627 959569741 1476261140 1623887254 1919139482 3247774508 3838278964 4059718135 4797848705 8119436270 9595697410 10555267151 16238872540 19191394820 21110534302 42221068604 52776335755 105552671510 211105343020