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211220201132220 = 223571729582661223
BaseRepresentation
bin110000000001101010001001…
…000011101101000010111100
31000200212110020222120021011110
4300001222021003231002330
5210141112432442212340
62025121115411322020
762330104326323310
oct6001521103550274
91020773228507143
10211220201132220
1161334a91049055
121b833a81bb0310
1390b1c96c6c477
143a2318015bb40
1519644c7418680
hexc01a890ed0bc

211220201132220 has 96 divisors (see below), whose sum is σ = 715663740331008. Its totient is φ = 45438967636992.

The previous prime is 211220201132219. The next prime is 211220201132233. The reversal of 211220201132220 is 22231102022112.

It is a super-2 number, since 2×2112202011322202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 14791323472 + ... + 14791337751.

It is an arithmetic number, because the mean of its divisors is an integer number (7454830628448).

Almost surely, 2211220201132220 is an apocalyptic number.

211220201132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211220201132220 is an abundant number, since it is smaller than the sum of its proper divisors (504443539198788).

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

211220201132220 is a wasteful number, since it uses less digits than its factorization.

211220201132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29582661259 (or 29582661257 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 211220201132220 its reverse (22231102022112), we get a palindrome (233451303154332).

The spelling of 211220201132220 in words is "two hundred eleven trillion, two hundred twenty billion, two hundred one million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 29582661223 59165322446 88747983669 118330644892 147913306115 177495967338 207078628561 295826612230 354991934676 414157257122 443739918345 502905240791 591653224460 621235885683 828314514244 887479836690 1005810481582 1035393142805 1242471771366 1508715722373 1774959673380 2011620963164 2070786285610 2484943542732 2514526203955 3017431444746 3106179428415 3520336685537 4141572571220 5029052407910 6034862889492 6212358856830 7040673371074 7543578611865 10058104815820 10561010056611 12424717713660 14081346742148 15087157223730 17601683427685 21122020113222 30174314447460 35203366855370 42244040226444 52805050283055 70406733710740 105610100566110 211220201132220