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1021130112 = 27326310111
BaseRepresentation
bin111100110111010…
…011010110000000
32122011102210011210
4330313103112000
54042402130422
6245154210120
734206314502
oct7467232600
92564383153
101021130112
11484446192
12245b83940
13133727b02
149988bd72
155e9a710c
hex3cdd3580

1021130112 has 64 divisors (see below), whose sum is σ = 2722959360. Its totient is φ = 339048960.

The previous prime is 1021130081. The next prime is 1021130119. The reversal of 1021130112 is 2110311201.

1021130112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021130119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95937 + ... + 106047.

It is an arithmetic number, because the mean of its divisors is an integer number (42546240).

Almost surely, 21021130112 is an apocalyptic number.

1021130112 is a gapful number since it is divisible by the number (12) 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 1021130112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361479680).

1021130112 is an abundant number, since it is smaller than the sum of its proper divisors (1701829248).

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

1021130112 is a wasteful number, since it uses less digits than its factorization.

1021130112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10391 (or 10379 counting only the distinct ones).

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

The square root of 1021130112 is about 31955.1265370676. The cubic root of 1021130112 is about 1006.9943358763.

Adding to 1021130112 its reverse (2110311201), we get a palindrome (3131441313).

The spelling of 1021130112 in words is "one billion, twenty-one million, one hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 263 384 526 789 1052 1578 2104 3156 4208 6312 8416 10111 12624 16832 20222 25248 30333 33664 40444 50496 60666 80888 100992 121332 161776 242664 323552 485328 647104 970656 1294208 1941312 2659193 3882624 5318386 7977579 10636772 15955158 21273544 31910316 42547088 63820632 85094176 127641264 170188352 255282528 340376704 510565056 1021130112