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3031113322044 = 2234292771164607
BaseRepresentation
bin101100000110111100011…
…011101100111000111100
3101201202211111110210120000
4230012330123230320330
5344130210002301134
610240250233554300
7431663546062563
oct54067433547074
911652744423500
103031113322044
11a695404a4075
1240b549875990
1318caa975b632
14a69c714abda
1553ca5e85e99
hex2c1bc6ece3c

3031113322044 has 120 divisors (see below), whose sum is σ = 8226767619840. Its totient is φ = 972008118144.

The previous prime is 3031113322031. The next prime is 3031113322079. The reversal of 3031113322044 is 4402233111303.

It is a happy number.

3031113322044 is a `hidden beast` number, since 303 + 1 + 1 + 1 + 332 + 20 + 4 + 4 = 666.

It is a super-3 number, since 3×30311133220443 (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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 3031113321999 and 3031113322017.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2020389 + ... + 3184995.

It is an arithmetic number, because the mean of its divisors is an integer number (68556396832).

Almost surely, 23031113322044 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 3031113322044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113383809920).

3031113322044 is an abundant number, since it is smaller than the sum of its proper divisors (5195654297796).

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

3031113322044 is a wasteful number, since it uses less digits than its factorization.

3031113322044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164929 (or 1164918 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3031113322044 its reverse (4402233111303), we get a palindrome (7433346433347).

The spelling of 3031113322044 in words is "three trillion, thirty-one billion, one hundred thirteen million, three hundred twenty-two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 277 324 348 522 554 783 831 1044 1108 1566 1662 2349 2493 3132 3324 4698 4986 7479 8033 9396 9972 14958 16066 22437 24099 29916 32132 44874 48198 72297 89748 96396 144594 216891 289188 433782 650673 867564 1164607 1301346 2329214 2602692 3493821 4658428 6987642 10481463 13975284 20962926 31444389 33773603 41925852 62888778 67547206 94333167 101320809 125777556 135094412 188666334 202641618 303962427 322596139 377332668 405283236 607924854 645192278 911887281 967788417 1215849708 1290384556 1823774562 1935576834 2735661843 2903365251 3647549124 3871153668 5471323686 5806730502 8710095753 9355288031 10942647372 11613461004 17420191506 18710576062 26130287259 28065864093 34840383012 37421152124 52260574518 56131728186 84197592279 104521149036 112263456372 168395184558 252592776837 336790369116 505185553674 757778330511 1010371107348 1515556661022 3031113322044