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44310102100 = 2252117327559
BaseRepresentation
bin101001010001000101…
…101000000001010100
311020101001021102001121
4221101011220001110
51211221341231400
632204503133324
73126021440065
oct512105500124
9136331242047
1044310102100
11178789965a0
128707444244
134241ccac34
142204ba456c
1512450b421a
hexa51168054

44310102100 has 108 divisors (see below), whose sum is σ = 106364754720. Its totient is φ = 15889939200.

The previous prime is 44310102079. The next prime is 44310102119. The reversal of 44310102100 is 120101344.

It is a super-2 number, since 2×443101021002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5858121 + ... + 5865679.

It is an arithmetic number, because the mean of its divisors is an integer number (984858840).

Almost surely, 244310102100 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 44310102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53182377360).

44310102100 is an abundant number, since it is smaller than the sum of its proper divisors (62054652620).

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

44310102100 is a wasteful number, since it uses less digits than its factorization.

44310102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7730 (or 7650 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 44310102100 its reverse (120101344), we get a palindrome (44430203444).

The spelling of 44310102100 in words is "forty-four billion, three hundred ten million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 73 100 110 146 220 275 292 365 550 730 803 1100 1460 1606 1825 3212 3650 4015 5329 7300 7559 8030 10658 15118 16060 20075 21316 26645 30236 37795 40150 53290 58619 75590 80300 83149 106580 117238 133225 151180 166298 188975 234476 266450 293095 332596 377950 415745 532900 551807 586190 755900 831490 1103614 1172380 1465475 1662980 2078725 2207228 2759035 2930950 4157450 5518070 5861900 6069877 8314900 11036140 12139754 13795175 24279508 27590350 30349385 40281911 55180700 60698770 80563822 121397540 151746925 161127644 201409555 303493850 402819110 443101021 606987700 805638220 886202042 1007047775 1772404084 2014095550 2215505105 4028191100 4431010210 8862020420 11077525525 22155051050 44310102100