Search a number
-
+
111133213020 = 223255915766653
BaseRepresentation
bin110011110000000001…
…1100100000101011100
3101121212001202011101200
41213200003210011130
53310100100304040
6123015350235500
711012661503334
oct1474003440534
9347761664350
10111133213020
114314988a8a5
1219656355b90
13a63120915b
1455438ca0c4
152d5683e630
hex19e00e415c

111133213020 has 144 divisors (see below), whose sum is σ = 345006436320. Its totient is φ = 28947230208.

The previous prime is 111133212979. The next prime is 111133213033. The reversal of 111133213020 is 20312331111.

It is a super-2 number, since 2×1111332130202 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 111133212984 and 111133213002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1634014 + ... + 1700666.

It is an arithmetic number, because the mean of its divisors is an integer number (2395878030).

Almost surely, 2111133213020 is an apocalyptic number.

111133213020 is a gapful number since it is divisible by the number (10) 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 111133213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172503218160).

111133213020 is an abundant number, since it is smaller than the sum of its proper divisors (233873223300).

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

111133213020 is a wasteful number, since it uses less digits than its factorization.

111133213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66884 (or 66879 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111133213020 its reverse (20312331111), we get a palindrome (131445544131).

The spelling of 111133213020 in words is "one hundred eleven billion, one hundred thirty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 157 177 180 236 295 314 354 471 531 590 628 708 785 885 942 1062 1180 1413 1570 1770 1884 2124 2355 2655 2826 3140 3540 4710 5310 5652 7065 9263 9420 10620 14130 18526 27789 28260 37052 46315 55578 66653 83367 92630 111156 133306 138945 166734 185260 199959 266612 277890 333265 333468 399918 416835 555780 599877 666530 799836 833670 999795 1199754 1333060 1667340 1999590 2399508 2999385 3932527 3999180 5998770 7865054 10464521 11797581 11997540 15730108 19662635 20929042 23595162 31393563 35392743 39325270 41858084 47190324 52322605 58987905 62787126 70785486 78650540 94180689 104645210 117975810 125574252 141570972 156967815 176963715 188361378 209290420 235951620 313935630 353927430 376722756 470903445 617406739 627871260 707854860 941806890 1234813478 1852220217 1883613780 2469626956 3087033695 3704440434 5556660651 6174067390 7408880868 9261101085 11113321302 12348134780 18522202170 22226642604 27783303255 37044404340 55566606510 111133213020