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1112200010010 = 2325371971695401
BaseRepresentation
bin10000001011110100010…
…010010101100100011010
310221022210010112111020100
4100023310102111210122
5121210241200310020
62210534310040230
7143232232046565
oct20136422254432
93838703474210
101112200010010
11399754a020a1
1215b675649076
1380b594cb7cb
143bb8b8ab4dc
151dde6a7da90
hex102f449591a

1112200010010 has 96 divisors (see below), whose sum is σ = 2984951887632. Its totient is φ = 287105817600.

The previous prime is 1112200009967. The next prime is 1112200010057. The reversal of 1112200010010 is 100100022111.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 673628921001 + 438571089009 = 820749^2 + 662247^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1112200009974 and 1112200010001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191691 + ... + 1503710.

Almost surely, 21112200010010 is an apocalyptic number.

1112200010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1112200010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1492475943816).

1112200010010 is an abundant number, since it is smaller than the sum of its proper divisors (1872751877622).

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

1112200010010 is a wasteful number, since it uses less digits than its factorization.

1112200010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695648 (or 1695645 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1112200010010 its reverse (100100022111), we get a palindrome (1212300032121).

The spelling of 1112200010010 in words is "one trillion, one hundred twelve billion, two hundred million, ten thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 197 222 333 370 394 555 591 666 985 1110 1182 1665 1773 1970 2955 3330 3546 5910 7289 8865 14578 17730 21867 36445 43734 65601 72890 109335 131202 218670 328005 656010 1695401 3390802 5086203 8477005 10172406 15258609 16954010 25431015 30517218 50862030 62729837 76293045 125459674 152586090 188189511 313649185 333993997 376379022 564568533 627298370 667987994 940947555 1001981991 1129137066 1669969985 1881895110 2003963982 2822842665 3005945973 3339939970 5009909955 5645685330 6011891946 10019819910 12357777889 15029729865 24715555778 30059459730 37073333667 61788889445 74146667334 111220001001 123577778890 185366668335 222440002002 370733336670 556100005005 1112200010010