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210011002212 = 223114773463711
BaseRepresentation
bin1100001110010110100…
…0011001010101100100
3202002002000202021211010
43003211220121111210
511420100304032322
6240251104342220
721113161031244
oct3034550312544
9662060667733
10210011002212
1181079810350
1234850314970
1316a5b38c41b
14a2438a9b24
1556e22a720c
hex30e5a19564

210011002212 has 96 divisors (see below), whose sum is σ = 553427288064. Its totient is φ = 61432300800.

The previous prime is 210011002193. The next prime is 210011002219. The reversal of 210011002212 is 212200110012.

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

It is not an unprimeable number, because it can be changed into a prime (210011002219) by changing a digit.

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, 221037 + ... + 684747.

It is an arithmetic number, because the mean of its divisors is an integer number (5764867584).

Almost surely, 2210011002212 is an apocalyptic number.

210011002212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210011002212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276713644032).

210011002212 is an abundant number, since it is smaller than the sum of its proper divisors (343416285852).

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

210011002212 is a wasteful number, since it uses less digits than its factorization.

210011002212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463849 (or 463847 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210011002212 its reverse (212200110012), we get a palindrome (422211112224).

The spelling of 210011002212 in words is "two hundred ten billion, eleven million, two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 73 94 132 141 146 188 219 282 292 438 517 564 803 876 1034 1551 1606 2068 2409 3102 3212 3431 4818 6204 6862 9636 10293 13724 20586 37741 41172 75482 113223 150964 226446 452892 463711 927422 1391133 1854844 2782266 5100821 5564532 10201642 15302463 20403284 21794417 30604926 33850903 43588834 61209852 65383251 67701806 87177668 101552709 130766502 135403612 203105418 239738587 261533004 372359933 406210836 479477174 719215761 744719866 958954348 1117079799 1438431522 1489439732 1590992441 2234159598 2876863044 3181984882 4468319196 4772977323 6363969764 9545954646 17500916851 19091909292 35001833702 52502750553 70003667404 105005501106 210011002212