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45112323300 = 2235211113120977
BaseRepresentation
bin101010000000111001…
…110110110011100100
311022102221210110122220
4222000321312303210
51214342223321200
632420241352340
73154632264312
oct520071666344
9138387713586
1045112323300
111814a804220
1288b00386b0
13433c27ab35
14227d54b0b2
1512907294a0
hexa80e76ce4

45112323300 has 144 divisors (see below), whose sum is σ = 143652180672. Its totient is φ = 10839449600.

The previous prime is 45112323287. The next prime is 45112323301. The reversal of 45112323300 is 332321154.

It is not an unprimeable number, because it can be changed into a prime (45112323301) 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 47 ways as a sum of consecutive naturals, for example, 312412 + ... + 433388.

It is an arithmetic number, because the mean of its divisors is an integer number (997584588).

Almost surely, 245112323300 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 45112323300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71826090336).

45112323300 is an abundant number, since it is smaller than the sum of its proper divisors (98539857372).

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

45112323300 is a wasteful number, since it uses less digits than its factorization.

45112323300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121118 (or 121111 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

Adding to 45112323300 its reverse (332321154), we get a palindrome (45444644454).

The spelling of 45112323300 in words is "forty-five billion, one hundred twelve million, three hundred twenty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 452 550 565 660 678 825 1100 1130 1243 1356 1650 1695 2260 2486 2825 3300 3390 3729 4972 5650 6215 6780 7458 8475 11300 12430 14916 16950 18645 24860 31075 33900 37290 62150 74580 93225 120977 124300 186450 241954 362931 372900 483908 604885 725862 1209770 1330747 1451724 1814655 2419540 2661494 3024425 3629310 3992241 5322988 6048850 6653735 7258620 7984482 9073275 12097700 13307470 13670401 15968964 18146550 19961205 26614940 27340802 33268675 36293100 39922410 41011203 54681604 66537350 68352005 79844820 82022406 99806025 133074700 136704010 150374411 164044812 199612050 205056015 273408020 300748822 341760025 399224100 410112030 451123233 601497644 683520050 751872055 820224060 902246466 1025280075 1367040100 1503744110 1804492932 2050560150 2255616165 3007488220 3759360275 4101120300 4511232330 7518720550 9022464660 11278080825 15037441100 22556161650 45112323300