Search a number
-
+
111033003213444 = 223138319743529449
BaseRepresentation
bin11001001111101111100010…
…101101110000001010000100
3112120010122120220100011022210
4121033233202231300022010
5104023131042310312234
61032051505115423420
732246604220123014
oct3117574255601204
9476118526304283
10111033003213444
11324189177648a4
1210552b34154b70
1349c54a0ba0160
141d5c0515d3c44
15cc835357dbe9
hex64fbe2b70284

111033003213444 has 96 divisors (see below), whose sum is σ = 283800870460800. Its totient is φ = 33581053836288.

The previous prime is 111033003213443. The next prime is 111033003213479. The reversal of 111033003213444 is 444312300330111.

111033003213444 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1110330032134442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (111033003213443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19213969 + ... + 24315480.

It is an arithmetic number, because the mean of its divisors is an integer number (2956259067300).

Almost surely, 2111033003213444 is an apocalyptic number.

It is an amenable number.

111033003213444 is an abundant number, since it is smaller than the sum of its proper divisors (172767867247356).

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

111033003213444 is a wasteful number, since it uses less digits than its factorization.

111033003213444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43529749 (or 43529747 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 111033003213444 its reverse (444312300330111), we get a palindrome (555345303543555).

The spelling of 111033003213444 in words is "one hundred eleven trillion, thirty-three billion, three million, two hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 83 156 166 197 249 332 394 498 591 788 996 1079 1182 2158 2364 2561 3237 4316 5122 6474 7683 10244 12948 15366 16351 30732 32702 49053 65404 98106 196212 212563 425126 637689 850252 1275378 2550756 43529449 87058898 130588347 174117796 261176694 522353388 565882837 1131765674 1697648511 2263531348 3395297022 3612944267 6790594044 7225888534 8575301453 10838832801 14451777068 17150602906 21677665602 25725904359 34301205812 43355331204 46968275471 51451808718 93936550942 102903617436 111478918889 140904826413 187873101884 222957837778 281809652826 334436756667 445915675556 563619305652 668873513334 711750020599 1337747026668 1423500041198 2135250061797 2847000082396 4270500123594 8541000247188 9252750267787 18505500535574 27758250803361 37011001071148 55516501606722 111033003213444