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211100021220 = 2235111013166817
BaseRepresentation
bin1100010010011010001…
…0101011000111100100
3202011212220221012001110
43010212202223013210
511424313101134340
6240551130025020
721152153400624
oct3044642530744
9664786835043
10211100021220
1181588505460
1234ab4b78170
1316ba2b96b7a
14a30838a884
155757bbe680
hex31268ab1e4

211100021220 has 96 divisors (see below), whose sum is σ = 651199118976. Its totient is φ = 50669056000.

The previous prime is 211100021213. The next prime is 211100021261. The reversal of 211100021220 is 22120001112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 211100021196 and 211100021205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1516749 + ... + 1650068.

It is an arithmetic number, because the mean of its divisors is an integer number (6783324156).

Almost surely, 2211100021220 is an apocalyptic number.

211100021220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211100021220 is an abundant number, since it is smaller than the sum of its proper divisors (440099097756).

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

211100021220 is a wasteful number, since it uses less digits than its factorization.

211100021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166941 (or 3166939 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211100021220 its reverse (22120001112), we get a palindrome (233220022332).

The spelling of 211100021220 in words is "two hundred eleven billion, one hundred million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 66660 3166817 6333634 9500451 12667268 15834085 19000902 31668170 34834987 38001804 47502255 63336340 69669974 95004510 104504961 139339948 174174935 190009020 209009922 319848517 348349870 418019844 522524805 639697034 696699740 959545551 1045049610 1279394068 1599242585 1919091102 2090099220 3198485170 3518333687 3838182204 4797727755 6396970340 7036667374 9595455510 10555001061 14073334748 17591668435 19190911020 21110002122 35183336870 42220004244 52775005305 70366673740 105550010610 211100021220