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211010010012012 = 223163457559142221
BaseRepresentation
bin101111111110100110011000…
…101100001101100101101100
31000200010100201101220000220110
4233332212120230031211230
5210124142000030341022
62024440354350220020
762305653520302501
oct5776463054154554
91020110641800813
10211010010012012
116126392a6a5462
121b7bb1a14b4610
13909820a497563
143a16d207a74a8
15195dcc443300c
hexbfe998b0d96c

211010010012012 has 96 divisors (see below), whose sum is σ = 496561817009664. Its totient is φ = 69738063782400.

The previous prime is 211010010011963. The next prime is 211010010012031. The reversal of 211010010012012 is 210210010010112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4997729062 + ... + 4997771282.

It is an arithmetic number, because the mean of its divisors is an integer number (5172518927184).

Almost surely, 2211010010012012 is an apocalyptic number.

It is an amenable number.

211010010012012 is an abundant number, since it is smaller than the sum of its proper divisors (285551806997652).

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

211010010012012 is a wasteful number, since it uses less digits than its factorization.

211010010012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48439 (or 48437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211010010012012 its reverse (210210010010112), we get a palindrome (421220020022124).

The spelling of 211010010012012 in words is "two hundred eleven trillion, ten billion, ten million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 163 326 457 489 652 914 978 1371 1828 1956 2742 5484 5591 11182 16773 22364 33546 42221 67092 74491 84442 126663 148982 168884 223473 253326 297964 446946 506652 893892 911333 1822666 2555087 2733999 3645332 5110174 5467998 6882023 7665261 10220348 10935996 13764046 15330522 19294997 20646069 27528092 30661044 38589994 41292138 57884991 77179988 82584276 115769982 231539964 236057611 416479181 472115222 708172833 832958362 944230444 1249437543 1416345666 1665916724 2498875086 2832691332 3145084511 4997750172 6290169022 9435253533 12580338044 18870507066 37741014132 38477390593 76954781186 107878328227 115432171779 153909562372 215756656454 230864343558 323634984681 431513312908 461728687116 647269969362 1294539938724 17584167501001 35168335002002 52752502503003 70336670004004 105505005006006 211010010012012