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211031040441042 = 232191495717252669
BaseRepresentation
bin101111111110111001111110…
…001100111011101011010010
31000200012101000001100112001100
4233332321332030323223102
5210130013032323103132
62024454153245245230
762310326624063613
oct5776717614735322
91020171001315040
10211031040441042
1161271841841018
121b803290563816
13909a1ac4a46c3
143a17d5787bc0a
15195e60589137c
hexbfee7e33bad2

211031040441042 has 96 divisors (see below), whose sum is σ = 485377687080000. Its totient is φ = 66078187827840.

The previous prime is 211031040441019. The next prime is 211031040441047. The reversal of 211031040441042 is 240144040130112.

211031040441042 is a `hidden beast` number, since 2 + 1 + 103 + 104 + 0 + 4 + 410 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 211031040440997 and 211031040441015.

It is not an unprimeable number, because it can be changed into a prime (211031040441047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25470684 + ... + 32723352.

It is an arithmetic number, because the mean of its divisors is an integer number (5056017573750).

Almost surely, 2211031040441042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211031040441042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242688843540000).

211031040441042 is an abundant number, since it is smaller than the sum of its proper divisors (274346646638958).

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

211031040441042 is a wasteful number, since it uses less digits than its factorization.

211031040441042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253416 (or 7253413 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 211031040441042 its reverse (240144040130112), we get a palindrome (451175080571154).

The spelling of 211031040441042 in words is "two hundred eleven trillion, thirty-one billion, forty million, four hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 149 171 298 342 447 571 894 1142 1341 1713 2682 2831 3426 5139 5662 8493 10278 10849 16986 21698 25479 32547 50958 65094 85079 97641 170158 195282 255237 510474 765711 1531422 1616501 3233002 4849503 7252669 9699006 14505338 14548509 21758007 29097018 43516014 65274021 130548042 137800711 275601422 413402133 826804266 1080647681 1240206399 2161295362 2480412798 3241943043 4141273999 6483886086 8282547998 9725829129 12423821997 19451658258 20532305939 24847643994 37271465991 41064611878 61596917817 74542931982 78684205981 123193835634 157368411962 184790753451 236052617943 369581506902 472105235886 617049825851 708157853829 1234099651702 1416315707658 1851149477553 3702298955106 5553448432659 11106896865318 11723946691169 23447893382338 35171840073507 70343680147014 105515520220521 211031040441042