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10197244300 = 225217109113487
BaseRepresentation
bin10010111111100110…
…11001100110001100
3222022122220200102211
421133303121212030
5131340443304200
64403510200204
7510461101135
oct113763314614
928278820384
1010197244300
114363095631
121b87053064
13c6681b389
146ca428c8c
153ea370aba
hex25fcd998c

10197244300 has 144 divisors (see below), whose sum is σ = 23902845120. Its totient is φ = 3762339840.

The previous prime is 10197244247. The next prime is 10197244339. The reversal of 10197244300 is 344279101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20938657 + ... + 20939143.

It is an arithmetic number, because the mean of its divisors is an integer number (165991980).

Almost surely, 210197244300 is an apocalyptic number.

10197244300 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 10197244300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11951422560).

10197244300 is an abundant number, since it is smaller than the sum of its proper divisors (13705600820).

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

10197244300 is a wasteful number, since it uses less digits than its factorization.

10197244300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 10197244300 in words is "ten billion, one hundred ninety-seven million, two hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 109 113 170 218 226 340 425 436 452 487 545 565 850 974 1090 1130 1700 1853 1921 1948 2180 2260 2435 2725 2825 3706 3842 4870 5450 5650 7412 7684 8279 9265 9605 9740 10900 11300 12175 12317 16558 18530 19210 24350 24634 33116 37060 38420 41395 46325 48025 48700 49268 53083 55031 61585 82790 92650 96050 106166 110062 123170 165580 185300 192100 206975 209389 212332 220124 246340 265415 275155 307925 413950 418778 530830 550310 615850 827900 837556 902411 935527 1046945 1061660 1100620 1231700 1327075 1375775 1804822 1871054 2093890 2654150 2751550 3609644 3742108 4187780 4512055 4677635 5234725 5308300 5503100 5998379 9024110 9355270 10469450 11996758 18048220 18710540 20938900 22560275 23388175 23993516 29991895 45120550 46776350 59983790 90241100 93552700 101972443 119967580 149959475 203944886 299918950 407889772 509862215 599837900 1019724430 2039448860 2549311075 5098622150 10197244300