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2001130112 = 27178910333
BaseRepresentation
bin111011101000110…
…1101001010000000
312011110110221110002
41313101231022000
513044242130422
6530323055132
7100406216402
oct16721551200
95143427402
102001130112
11937649743
1247a2114a8
1325b781877
1414dab0b72
15baa37692
hex7746d280

2001130112 has 64 divisors (see below), whose sum is σ = 4268975400. Its totient is φ = 931037184.

The previous prime is 2001130099. The next prime is 2001130121. The reversal of 2001130112 is 2110311002.

It can be written as a sum of positive squares in 4 ways, for example, as 1840753216 + 160376896 = 42904^2 + 12664^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 2001130093 and 2001130102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 188498 + ... + 198830.

Almost surely, 22001130112 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 2001130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2134487700).

2001130112 is an abundant number, since it is smaller than the sum of its proper divisors (2267845288).

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

2001130112 is a wasteful number, since it uses less digits than its factorization.

2001130112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10453 (or 10441 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2001130112 is about 44733.9928018951. The cubic root of 2001130112 is about 1260.1583138609.

Adding to 2001130112 its reverse (2110311002), we get a palindrome (4111441114).

The spelling of 2001130112 in words is "two billion, one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 272 356 544 712 1088 1424 1513 2176 2848 3026 5696 6052 10333 11392 12104 20666 24208 41332 48416 82664 96832 165328 175661 193664 330656 351322 661312 702644 919637 1322624 1405288 1839274 2810576 3678548 5621152 7357096 11242304 14714192 15633829 22484608 29428384 31267658 58856768 62535316 117713536 125070632 250141264 500282528 1000565056 2001130112