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2001233111112 = 233347533719377
BaseRepresentation
bin11101000111110010110…
…010011110100001001000
321002022112101011101102000
4131013302302132201020
5230242011134023422
64131204230511000
7264404264530134
oct35076262364110
97068471141360
102001233111112
11701799a12484
12283a28b05460
1311693bb7c911
146cc0855c3c4
15370cb3a8cac
hex1d1f2c9e848

2001233111112 has 128 divisors (see below), whose sum is σ = 5784376665600. Its totient is φ = 640565812224.

The previous prime is 2001233111081. The next prime is 2001233111117. The reversal of 2001233111112 is 2111113321002.

2001233111112 is a `hidden beast` number, since 200 + 12 + 331 + 11 + 112 = 666.

It is a super-3 number, since 3×20012331111123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2001233111117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321633 + ... + 2397744.

It is an arithmetic number, because the mean of its divisors is an integer number (45190442700).

Almost surely, 22001233111112 is an apocalyptic number.

It is an amenable number.

2001233111112 is an abundant number, since it is smaller than the sum of its proper divisors (3783143554488).

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

2001233111112 is a wasteful number, since it uses less digits than its factorization.

2001233111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719492 (or 3719482 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2001233111112 its reverse (2111113321002), we get a palindrome (4112346432114).

The spelling of 2001233111112 in words is "two trillion, one billion, two hundred thirty-three million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 53 54 72 94 106 108 141 159 188 212 216 282 318 376 423 424 477 564 636 846 954 1128 1269 1272 1431 1692 1908 2491 2538 2862 3384 3816 4982 5076 5724 7473 9964 10152 11448 14946 19928 22419 29892 44838 59784 67257 89676 134514 179352 269028 538056 3719377 7438754 11158131 14877508 22316262 29755016 33474393 44632524 66948786 89265048 100423179 133897572 174810719 197126981 200846358 267795144 349621438 394253962 401692716 524432157 591380943 699242876 788507924 803385432 1048864314 1182761886 1398485752 1573296471 1577015848 1774142829 2097728628 2365523772 3146592942 3548285658 4195457256 4719889413 4731047544 5322428487 6293185884 7096571316 9264968107 9439778826 10644856974 12586371768 14193142632 18529936214 18879557652 21289713948 27794904321 37059872428 37759115304 42579427896 55589808642 74119744856 83384712963 111179617284 166769425926 222359234568 250154138889 333538851852 500308277778 667077703704 1000616555556 2001233111112