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112444302300 = 223521135396527
BaseRepresentation
bin110100010111000110…
…0111110001111011100
3101202020102210101202220
41220232030332033130
53320241220133200
6123353423345340
711060321541141
oct1505614761734
9352212711686
10112444302300
1143761971660
1219961452250
13a7aca27725
145629a963c8
152dd19c04a0
hex1a2e33e3dc

112444302300 has 144 divisors (see below), whose sum is σ = 355924219392. Its totient is φ = 27181721600.

The previous prime is 112444302253. The next prime is 112444302317. The reversal of 112444302300 is 3203444211.

It is a super-2 number, since 2×1124443023002 (a number of 23 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 47 ways as a sum of consecutive naturals, for example, 1116637 + ... + 1213163.

It is an arithmetic number, because the mean of its divisors is an integer number (2471695968).

Almost surely, 2112444302300 is an apocalyptic number.

112444302300 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 112444302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177962109696).

112444302300 is an abundant number, since it is smaller than the sum of its proper divisors (243479917092).

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

112444302300 is a wasteful number, since it uses less digits than its factorization.

112444302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96908 (or 96901 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 112444302300 its reverse (3203444211), we get a palindrome (115647746511).

The spelling of 112444302300 in words is "one hundred twelve billion, four hundred forty-four million, three hundred two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 353 550 660 706 825 1059 1100 1412 1650 1765 2118 3300 3530 3883 4236 5295 7060 7766 8825 10590 11649 15532 17650 19415 21180 23298 26475 35300 38830 46596 52950 58245 77660 96527 97075 105900 116490 193054 194150 232980 289581 291225 386108 388300 482635 579162 582450 965270 1061797 1158324 1164900 1447905 1930540 2123594 2413175 2895810 3185391 4247188 4826350 5308985 5791620 6370782 7239525 9652700 10617970 12741564 14479050 15926955 21235940 26544925 28958100 31853910 34074031 53089850 63707820 68148062 79634775 102222093 106179700 136296124 159269550 170370155 204444186 318539100 340740310 374814341 408888372 511110465 681480620 749628682 851850775 1022220930 1124443023 1499257364 1703701550 1874071705 2044441860 2248886046 2555552325 3407403100 3748143410 4497772092 5111104650 5622215115 7496286820 9370358525 10222209300 11244430230 18740717050 22488860460 28111075575 37481434100 56222151150 112444302300