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211244124221312 = 2771347385865027
BaseRepresentation
bin110000000010000000011010…
…111111000010111110000000
31000200221202000020002002221012
4300002000122333002332000
5210142010431300040222
62025140113322220052
762331612216244610
oct6002003277027600
91020852006062835
10211244124221312
1161344147aaaa66
121b838639954628
1390b430a34a4a0
143a243ad496a40
151964e277b61e2
hexc0201afc2f80

211244124221312 has 128 divisors (see below), whose sum is σ = 528974649584640. Its totient is φ = 81791037831168.

The previous prime is 211244124221267. The next prime is 211244124221447. The reversal of 211244124221312 is 213122421442112.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192385058 + ... + 193479969.

It is an arithmetic number, because the mean of its divisors is an integer number (4132614449880).

Almost surely, 2211244124221312 is an apocalyptic number.

It is an amenable number.

211244124221312 is an abundant number, since it is smaller than the sum of its proper divisors (317730525363328).

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

211244124221312 is a wasteful number, since it uses less digits than its factorization.

211244124221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385865108 (or 385865096 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 211244124221312 its reverse (213122421442112), we get a palindrome (424366545663424).

The spelling of 211244124221312 in words is "two hundred eleven trillion, two hundred forty-four billion, one hundred twenty-four million, two hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 47 52 56 64 91 94 104 112 128 182 188 208 224 329 364 376 416 448 611 658 728 752 832 896 1222 1316 1456 1504 1664 2444 2632 2912 3008 4277 4888 5264 5824 6016 8554 9776 10528 11648 17108 19552 21056 34216 39104 42112 68432 78208 136864 273728 547456 385865027 771730054 1543460108 2701055189 3086920216 5016245351 5402110378 6173840432 10032490702 10804220756 12347680864 18135656269 20064981404 21608441512 24695361728 35113717457 36271312538 40129962808 43216883024 49390723456 70227434914 72542625076 80259925616 86433766048 126949593883 140454869828 145085250152 160519851232 172867532096 235763531497 253899187766 280909739656 290170500304 321039702464 345735064192 471527062994 507798375532 561819479312 580341000608 642079404928 943054125988 1015596751064 1123638958624 1160682001216 1650344720479 1886108251976 2031193502128 2247277917248 2321364002432 3300689440958 3772216503952 4062387004256 4494555834496 6601378881916 7544433007904 8124774008512 13202757763832 15088866015808 16249548017024 26405515527664 30177732031616 52811031055328 105622062110656 211244124221312