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2201000112 = 2432531731667
BaseRepresentation
bin1000001100110000…
…1001100010110000
312200101120101112200
42003030021202300
514001424000422
61002223023200
7105354122643
oct20314114260
95611511480
102201000112
11a2a452a63
1251513ab00
13290cc193c
1416c45ba5a
15cd3682ac
hex833098b0

2201000112 has 120 divisors (see below), whose sum is σ = 6316028784. Its totient is φ = 715233792.

The previous prime is 2201000077. The next prime is 2201000117. The reversal of 2201000112 is 2110001022.

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 = 2201000094 and 2201000103.

It is not an unprimeable number, because it can be changed into a prime (2201000117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1319503 + ... + 1321169.

Almost surely, 22201000112 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 2201000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158014392).

2201000112 is an abundant number, since it is smaller than the sum of its proper divisors (4115028672).

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

2201000112 is a wasteful number, since it uses less digits than its factorization.

2201000112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907 (or 1898 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2201000112 is about 46914.8176166123. The cubic root of 2201000112 is about 1300.7884983755.

Adding to 2201000112 its reverse (2110001022), we get a palindrome (4311001134).

The spelling of 2201000112 in words is "two billion, two hundred one million, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 173 212 318 346 424 477 519 636 692 848 954 1038 1272 1384 1557 1667 1908 2076 2544 2768 3114 3334 3816 4152 5001 6228 6668 7632 8304 9169 10002 12456 13336 15003 18338 20004 24912 26672 27507 30006 36676 40008 55014 60012 73352 80016 82521 88351 110028 120024 146704 165042 176702 220056 240048 265053 288391 330084 353404 440112 530106 576782 660168 706808 795159 865173 1060212 1153564 1320336 1413616 1590318 1730346 2120424 2307128 2595519 3180636 3460692 4240848 4614256 5191038 6361272 6921384 10382076 12722544 13842768 15284723 20764152 30569446 41528304 45854169 61138892 91708338 122277784 137562507 183416676 244555568 275125014 366833352 550250028 733666704 1100500056 2201000112