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211211012012 = 2271113311701613
BaseRepresentation
bin1100010010110100101…
…0000100011110101100
3202012011122210002210112
43010231022010132230
511430030004341022
6241010132555152
721155001660140
oct3045512043654
9665148702715
10211211012012
1181635123490
1234b26182ab8
1316bbcb881b0
14a318ddd220
1557627e58e2
hex312d2847ac

211211012012 has 96 divisors (see below), whose sum is σ = 512281104384. Its totient is φ = 73509638400.

The previous prime is 211211011997. The next prime is 211211012021. The reversal of 211211012012 is 210210112112.

It is a super-2 number, since 2×2112110120122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 726683 + ... + 974930.

It is an arithmetic number, because the mean of its divisors is an integer number (5336261504).

Almost surely, 2211211012012 is an apocalyptic number.

211211012012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211211012012 is an abundant number, since it is smaller than the sum of its proper divisors (301070092372).

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

211211012012 is a wasteful number, since it uses less digits than its factorization.

211211012012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701679 (or 1701677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211211012012 its reverse (210210112112), we get a palindrome (421421124124).

The spelling of 211211012012 in words is "two hundred eleven billion, two hundred eleven million, twelve thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 31 44 52 62 77 91 124 143 154 182 217 286 308 341 364 403 434 572 682 806 868 1001 1364 1612 2002 2387 2821 4004 4433 4774 5642 8866 9548 11284 17732 31031 62062 124124 1701613 3403226 6806452 11911291 18717743 22120969 23822582 37435486 44241938 47645164 52750003 74870972 88483876 105500006 131024201 154846783 211000012 243330659 262048402 309693566 369250021 486661318 524096804 580250033 619387132 685750039 738500042 973322636 1160500066 1371500078 1477000084 1703314613 2321000132 2743000156 3406629226 4061750231 4800250273 6813258452 7543250429 8123500462 9600500546 15086500858 16247000924 19201001092 30173001716 52802753003 105605506006 211211012012