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211110111312 = 24347881106217
BaseRepresentation
bin1100010010011100100…
…1001010100001010000
3202011220121220211001120
43010213021022201100
511424323142030222
6240552130202240
721152335224042
oct3044711124120
9664817824046
10211110111312
1181593177281
1234ab8423380
1316ba4cba739
14a309855a92
155758a1415c
hex312724a850

211110111312 has 80 divisors (see below), whose sum is σ = 557608810752. Its totient is φ = 68793978880.

The previous prime is 211110111299. The next prime is 211110111323. The reversal of 211110111312 is 213111011112.

It is a super-2 number, since 2×2111101113122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211110111291 and 211110111300.

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, 1934428 + ... + 2040644.

Almost surely, 2211110111312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211110111312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278804405376).

211110111312 is an abundant number, since it is smaller than the sum of its proper divisors (346498699440).

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

211110111312 is a wasteful number, since it uses less digits than its factorization.

211110111312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107156 (or 107150 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 211110111312 its reverse (213111011112), we get a palindrome (424221122424).

The spelling of 211110111312 in words is "two hundred eleven billion, one hundred ten million, one hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 881 1128 1762 2256 2643 3524 5286 7048 10572 14096 21144 41407 42288 82814 106217 124221 165628 212434 248442 318651 331256 424868 496884 637302 662512 849736 993768 1274604 1699472 1987536 2549208 4992199 5098416 9984398 14976597 19968796 29953194 39937592 59906388 79875184 93577177 119812776 187154354 239625552 280731531 374308708 561463062 748617416 1122926124 1497234832 2245852248 4398127319 4491704496 8796254638 13194381957 17592509276 26388763914 35185018552 52777527828 70370037104 105555055656 211110111312