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211421322200 = 235211234178287
BaseRepresentation
bin1100010011100110110…
…0010101101111011000
3202012201022111222010202
43010321230111233120
511430442324302300
6241043044401332
721163134405314
oct3047154255730
9665638458122
10211421322200
1181732908660
1234b846a6248
1316c246122aa
14a338d06b44
155775ed9ad5
hex3139b15bd8

211421322200 has 96 divisors (see below), whose sum is σ = 559556328960. Its totient is φ = 73537833600.

The previous prime is 211421322197. The next prime is 211421322221. The reversal of 211421322200 is 2223124112.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2038544 + ... + 2139743.

It is an arithmetic number, because the mean of its divisors is an integer number (5828711760).

Almost surely, 2211421322200 is an apocalyptic number.

211421322200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211421322200 is an abundant number, since it is smaller than the sum of its proper divisors (348135006760).

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

211421322200 is a wasteful number, since it uses less digits than its factorization.

211421322200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178337 (or 4178328 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 211421322200 its reverse (2223124112), we get a palindrome (213644446312).

The spelling of 211421322200 in words is "two hundred eleven billion, four hundred twenty-one million, three hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 184 200 220 230 253 275 440 460 506 550 575 920 1012 1100 1150 1265 2024 2200 2300 2530 4600 5060 6325 10120 12650 25300 50600 4178287 8356574 16713148 20891435 33426296 41782870 45961157 83565740 91922314 96100601 104457175 167131480 183844628 192201202 208914350 229805785 367689256 384402404 417828700 459611570 480503005 768804808 835657400 919223140 961006010 1057106611 1149028925 1838446280 1922012020 2114213222 2298057850 2402515025 3844024040 4228426444 4596115700 4805030050 5285533055 8456852888 9192231400 9610060100 10571066110 19220120200 21142132220 26427665275 42284264440 52855330550 105710661100 211421322200