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211331332121210 = 25719712329396079
BaseRepresentation
bin110000000011010001101000…
…111110110010001001111010
31000201021002002220010102202122
4300003101220332302021322
5210144423032010334320
62025244135042201242
762341120263204620
oct6003215076621172
91021232086112678
10211331332121210
1161378129649a04
121b851517653222
1390bc5c787a212
143a286c3629510
15196732d968d25
hexc03468fb227a

211331332121210 has 128 divisors (see below), whose sum is σ = 464089828147200. Its totient is φ = 67672546986240.

The previous prime is 211331332121149. The next prime is 211331332121213. The reversal of 211331332121210 is 12121233133112.

It is a super-3 number, since 3×2113313321212103 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 211331332121210.

It is not an unprimeable number, because it can be changed into a prime (211331332121213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2199509951 + ... + 2199606029.

It is an arithmetic number, because the mean of its divisors is an integer number (3625701782400).

Almost surely, 2211331332121210 is an apocalyptic number.

211331332121210 is an abundant number, since it is smaller than the sum of its proper divisors (252758496025990).

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

211331332121210 is a wasteful number, since it uses less digits than its factorization.

211331332121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119476.

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 211331332121210 its reverse (12121233133112), we get a palindrome (223452565254322).

The spelling of 211331332121210 in words is "two hundred eleven trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 71 95 133 142 190 266 355 497 665 710 994 1330 1349 2485 2698 4970 6745 9443 13490 18886 23293 46586 47215 94430 96079 116465 163051 192158 232930 326102 442567 480395 672553 815255 885134 960790 1345106 1630510 1653803 1825501 2212835 3097969 3307606 3362765 3651002 4425670 6195938 6725530 6821609 8269015 9127505 11576621 12778507 13643218 15489845 16538030 18255010 23153242 25557014 30979690 31422257 34108045 47751263 57883105 62844514 63892535 68216090 95502526 115766210 127785070 129610571 157111285 219955799 238756315 259221142 314222570 439911598 477512630 648052855 907273997 1099778995 1296105710 1814547994 2199557990 2237968147 4475936294 4536369985 9072739970 11189840735 15665777029 22379681470 31331554058 42521394793 78328885145 85042789586 156657770290 158895738437 212606973965 297649763551 317791476874 425213947930 595299527102 794478692185 1112270169059 1488248817755 1588957384370 2224540338118 2976497635510 3019019030303 5561350845295 6038038060606 11122701690590 15095095151515 21133133212121 30190190303030 42266266424242 105665666060605 211331332121210