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4133120112 = 2432116174229
BaseRepresentation
bin1111011001011010…
…0110100001110000
3101200001012020220200
43312112212201300
531431034320422
61522043035200
7204264640602
oct36626464160
911601166820
104133120112
111831047350
1297420bb00
1350b390404
142b2cc7172
15192cbd2ac
hexf65a6870

4133120112 has 120 divisors (see below), whose sum is σ = 12641981040. Its totient is φ = 1250135040.

The previous prime is 4133120077. The next prime is 4133120177. The reversal of 4133120112 is 2110213314.

4133120112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 975214 + ... + 979442.

It is an arithmetic number, because the mean of its divisors is an integer number (105349842).

Almost surely, 24133120112 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 4133120112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6320990520).

4133120112 is an abundant number, since it is smaller than the sum of its proper divisors (8508860928).

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

4133120112 is a wasteful number, since it uses less digits than its factorization.

4133120112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4871 (or 4862 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4133120112 is about 64289.3468002281. The cubic root of 4133120112 is about 1604.8188202040.

Adding to 4133120112 its reverse (2110213314), we get a palindrome (6243333426).

The spelling of 4133120112 in words is "four billion, one hundred thirty-three million, one hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 617 792 1234 1584 1851 2468 3702 4229 4936 5553 6787 7404 8458 9872 11106 12687 13574 14808 16916 20361 22212 25374 27148 29616 33832 38061 40722 44424 46519 50748 54296 61083 67664 76122 81444 88848 93038 101496 108592 122166 139557 152244 162888 186076 202992 244332 279114 304488 325776 372152 418671 488664 558228 608976 744304 837342 977328 1116456 1674684 2232912 2609293 3349368 5218586 6698736 7827879 10437172 15655758 20874344 23483637 28702223 31311516 41748688 46967274 57404446 62623032 86106669 93934548 114808892 125246064 172213338 187869096 229617784 258320007 344426676 375738192 459235568 516640014 688853352 1033280028 1377706704 2066560056 4133120112