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211213020312112 = 24721320723412511
BaseRepresentation
bin110000000001100011011101…
…000011000011001000110000
31000200211202201112120210211011
4300001203131003003020300
5210141003231144441422
62025113531053400304
762326431353341600
oct6001433503031060
91020752645523734
10211213020312112
1161331a36721685
121b8325b9199094
1390b13c13662a0
143a22a9c5b2c00
151964206cd3077
hexc018dd0c3230

211213020312112 has 60 divisors (see below), whose sum is σ = 512655778721856. Its totient is φ = 83556799240320.

The previous prime is 211213020312053. The next prime is 211213020312121.

It is a happy number.

211213020312112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112130203121122 (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 10361696064 + ... + 10361716447.

Almost surely, 2211213020312112 is an apocalyptic number.

It is an amenable number.

211213020312112 is an abundant number, since it is smaller than the sum of its proper divisors (301442758409744).

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

211213020312112 is a wasteful number, since it uses less digits than its factorization.

211213020312112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20723412546 (or 20723412533 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 211213020312112 in words is "two hundred eleven trillion, two hundred thirteen billion, twenty million, three hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 364 392 637 728 784 1274 1456 2548 5096 10192 20723412511 41446825022 82893650044 145063887577 165787300088 269404362643 290127775154 331574600176 538808725286 580255550308 1015447213039 1077617450572 1160511100616 1885830538501 2030894426078 2155234901144 2321022201232 3771661077002 4061788852156 4310469802288 7543322154004 8123577704312 13200813769507 15086644308008 16247155408624 26401627539014 30173288616016 52803255078028 105606510156056 211213020312112