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211143341112 = 2331117198723677
BaseRepresentation
bin1100010010100100011…
…1111011010000111000
3202011222221110001202220
43010221013323100320
511424410143403422
6240555314324040
721153220533654
oct3045107732070
9664887401686
10211143341112
11815aaa03320
1234b07589620
1316babb53842
14a310025a64
15575b8c9e5c
hex31291fb438

211143341112 has 128 divisors (see below), whose sum is σ = 610051357440. Its totient is φ = 60186286080.

The previous prime is 211143341107. The next prime is 211143341131.

211143341112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 8905818 + ... + 8929494.

It is an arithmetic number, because the mean of its divisors is an integer number (4766026230).

Almost surely, 2211143341112 is an apocalyptic number.

211143341112 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 211143341112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305025678720).

211143341112 is an abundant number, since it is smaller than the sum of its proper divisors (398908016328).

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

211143341112 is a wasteful number, since it uses less digits than its factorization.

211143341112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25701 (or 25697 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 211143 and 341112, that added together give a palindrome (552255).

The spelling of 211143341112 in words is "two hundred eleven billion, one hundred forty-three million, three hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 1987 2244 3974 4488 5961 7948 11922 15896 21857 23677 23844 33779 43714 47354 47688 65571 67558 71031 87428 94708 101337 131142 135116 142062 174856 189416 202674 260447 262284 270232 284124 371569 402509 405348 520894 524568 568248 743138 781341 805018 810696 1041788 1114707 1207527 1486276 1562682 1610036 2083576 2229414 2415054 2972552 3125364 3220072 4427599 4458828 4830108 6250728 8855198 8917656 9660216 13282797 17710396 26565594 35420792 47046199 53131188 94092398 106262376 141138597 188184796 282277194 376369592 517508189 564554388 799785383 1035016378 1129108776 1552524567 1599570766 2070032756 2399356149 3105049134 3199141532 4140065512 4798712298 6210098268 6398283064 8797639213 9597424596 12420196536 17595278426 19194849192 26392917639 35190556852 52785835278 70381113704 105571670556 211143341112