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1045112300 = 225231536361
BaseRepresentation
bin111110010010110…
…010010111101100
32200211120012112222
4332102302113230
54120022043200
6251412214512
734620210431
oct7622622754
92624505488
101045112300
11496a36381
1225200a438
131386a395b
149cb31b88
1561b42d85
hex3e4b25ec

1045112300 has 72 divisors (see below), whose sum is σ = 2385597312. Its totient is φ = 396864000.

The previous prime is 1045112287. The next prime is 1045112303. The reversal of 1045112300 is 32115401.

It is a super-2 number, since 2×10451123002 = 2184519439222580000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1045112303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 161120 + ... + 167480.

It is an arithmetic number, because the mean of its divisors is an integer number (33133296).

Almost surely, 21045112300 is an apocalyptic number.

1045112300 is a gapful number since it is divisible by the number (10) 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 1045112300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1192798656).

1045112300 is an abundant number, since it is smaller than the sum of its proper divisors (1340485012).

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

1045112300 is a wasteful number, since it uses less digits than its factorization.

1045112300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6459 (or 6452 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1045112300 is about 32328.1966710177. The cubic root of 1045112300 is about 1014.8168111566.

Adding to 1045112300 its reverse (32115401), we get a palindrome (1077227701).

The spelling of 1045112300 in words is "one billion, forty-five million, one hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 50 53 62 100 106 124 155 212 265 310 530 620 775 1060 1325 1550 1643 2650 3100 3286 5300 6361 6572 8215 12722 16430 25444 31805 32860 41075 63610 82150 127220 159025 164300 197191 318050 337133 394382 636100 674266 788764 985955 1348532 1685665 1971910 3371330 3943820 4929775 6742660 8428325 9859550 10451123 16856650 19719100 20902246 33713300 41804492 52255615 104511230 209022460 261278075 522556150 1045112300