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211120101020010 = 235713106317274327
BaseRepresentation
bin110000000000001100111010…
…101000000101000101101010
31000200111212212211112200210010
4300000030322220011011222
5210132442431330120020
62025003122510432350
762316631625364420
oct6000147250050552
91020455784480703
10211120101020010
11612a6594155196
121b8185a68026b6
1390a57037aa140
143a1c3a5abb110
151961ab9505de0
hexc0033aa0516a

211120101020010 has 128 divisors (see below), whose sum is σ = 623675044306944. Its totient is φ = 44539825178880.

The previous prime is 211120101019973. The next prime is 211120101020041. The reversal of 211120101020010 is 10020101021112.

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 63 ways as a sum of consecutive naturals, for example, 25385467 + ... + 32659793.

It is an arithmetic number, because the mean of its divisors is an integer number (4872461283648).

Almost surely, 2211120101020010 is an apocalyptic number.

211120101020010 is an abundant number, since it is smaller than the sum of its proper divisors (412554943286934).

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

211120101020010 is a wasteful number, since it uses less digits than its factorization.

211120101020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284988.

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

Adding to 211120101020010 its reverse (10020101021112), we get a palindrome (221140202041122).

The spelling of 211120101020010 in words is "two hundred eleven trillion, one hundred twenty billion, one hundred one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 455 546 910 1365 2730 10631 21262 31893 53155 63786 74417 106310 138203 148834 159465 223251 276406 318930 372085 414609 446502 691015 744170 829218 967421 1116255 1382030 1934842 2073045 2232510 2902263 4146090 4837105 5804526 7274327 9674210 14511315 14548654 21822981 29022630 36371635 43645962 50920289 72743270 94566251 101840578 109114905 152760867 189132502 218229810 254601445 283698753 305521734 472831255 509202890 567397506 661963757 763804335 945662510 1323927514 1418493765 1527608670 1985891271 2836987530 3309818785 3971782542 6619637570 9929456355 19858912710 77333370337 154666740674 232000111011 386666851685 464000222022 541333592359 773333703370 1005333814381 1082667184718 1160000555055 1624000777077 2010667628762 2320001110110 2706667961795 3016001443143 3248001554154 5026669071905 5413335923590 6032002886286 7037336700667 8120003885385 10053338143810 14074673401334 15080007215715 16240007770770 21112010102001 30160014431430 35186683503335 42224020204002 70373367006670 105560050510005 211120101020010