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211212121212112 = 241011812351307147
BaseRepresentation
bin110000000001100010100111…
…011101010000010011010000
31000200211200101212202210111011
4300001202213131100103100
5210140444411012241422
62025113301534500304
762326400155202026
oct6001424735202320
91020750355683434
10211212121212112
1161331615154529
121b8323a8064694
1390b12a9cc6457
143a22a1500c716
1519641a2dd3077
hexc018a77504d0

211212121212112 has 80 divisors (see below), whose sum is σ = 415736602654464. Its totient is φ = 103938206400000.

The previous prime is 211212121212083. The next prime is 211212121212179.

211212121212112 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2112121212121122 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 687504523 + ... + 687811669.

Almost surely, 2211212121212112 is an apocalyptic number.

It is an amenable number.

211212121212112 is a deficient number, since it is larger than the sum of its proper divisors (204524481442352).

211212121212112 is a wasteful number, since it uses less digits than its factorization.

211212121212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309788 (or 309782 counting only the distinct ones).

The product of its digits is 128, while the sum is 22.

The spelling of 211212121212112 in words is "two hundred eleven trillion, two hundred twelve billion, one hundred twenty-one million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 101 181 202 362 404 724 808 1448 1616 2351 2896 4702 9404 18281 18808 36562 37616 73124 146248 237451 292496 307147 425531 474902 614294 851062 949804 1228588 1702124 1899608 2457176 3404248 3799216 4914352 6808496 31021847 42978631 55593607 62043694 85957262 111187214 124087388 171914524 222374428 248174776 343829048 444748856 496349552 687658096 722102597 889497712 1444205194 2888410388 5614954307 5776820776 11229908614 11553641552 22459817228 44919634456 72932362297 89839268912 130700570057 145864724594 261401140114 291729449188 522802280228 583458898376 1045604560456 1166917796752 2091209120912 13200757575757 26401515151514 52803030303028 105606060606056 211212121212112