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212203406245311 = 36131011511468193
BaseRepresentation
bin110000001111111101110100…
…101001100011110110111111
31000211100110002020110001000000
4300033331310221203312333
5210303220033444322221
62031152522105205343
762461122141022425
oct6017756451436677
91024313066401000
10212203406245311
1161683a6076a918
121b972537490853
13915390689c2b0
143a589b1c39115
15197ed6e4c1e26
hexc0ff74a63dbf

212203406245311 has 112 divisors (see below), whose sum is σ = 348317586332352. Its totient is φ = 128437436160000.

The previous prime is 212203406245307. The next prime is 212203406245379. The reversal of 212203406245311 is 113542604302212.

It is a happy number.

212203406245311 is a `hidden beast` number, since 2 + 1 + 2 + 2 + 0 + 3 + 406 + 245 + 3 + 1 + 1 = 666.

It is not a de Polignac number, because 212203406245311 - 22 = 212203406245307 is a prime.

It is a super-2 number, since 2×2122034062453112 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212203406245511) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 143799631 + ... + 145267823.

It is an arithmetic number, because the mean of its divisors is an integer number (3109978449396).

Almost surely, 2212203406245311 is an apocalyptic number.

212203406245311 is a deficient number, since it is larger than the sum of its proper divisors (136114180087041).

212203406245311 is a wasteful number, since it uses less digits than its factorization.

212203406245311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468476 (or 1468461 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212203406245311 in words is "two hundred twelve trillion, two hundred three billion, four hundred six million, two hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 9 13 27 39 81 101 117 151 243 303 351 453 729 909 1053 1313 1359 1963 2727 3159 3939 4077 5889 8181 9477 11817 12231 15251 17667 24543 35451 36693 45753 53001 73629 106353 110079 137259 159003 198263 319059 411777 477009 594789 957177 1235331 1431027 1468193 1784367 3705993 4404579 5353101 11117979 13213737 16059303 19086509 39641211 48177909 57259527 118923633 144533727 148287493 171778581 221697143 356770899 444862479 515335743 665091429 1070312697 1334587437 1546007229 1927737409 1995274287 2882062859 4003762311 4638021687 5783212227 5985822861 8646188577 12011286933 13914065061 17349636681 17957468583 22391411443 25938565731 36033860799 52048910043 53872405749 67174234329 77815697193 108101582397 156146730129 161617217247 201522702987 233447091579 291088348759 468440190387 604568108961 700341274737 873265046277 1405320571161 1813704326883 2101023824211 2619795138831 5441112980649 7859385416493 16323338941947 23578156249479 70734468748437 212203406245311