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125332420300 = 225231415771709
BaseRepresentation
bin111010010111001100…
…1001111011011001100
3102222111122001121222121
41310232121033123030
54023140044422200
6133324340422324
712024565665163
oct1645631173314
9388448047877
10125332420300
114917597a44a
12203596a79a4
13ba84b85559
1460cd61a3da
1533d81c1e1a
hex1d2e64f6cc

125332420300 has 144 divisors (see below), whose sum is σ = 288259050240. Its totient is φ = 47222784000.

The previous prime is 125332420271. The next prime is 125332420303. The reversal of 125332420300 is 3024233521.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (125332420303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73335846 + ... + 73337554.

It is an arithmetic number, because the mean of its divisors is an integer number (2001798960).

Almost surely, 2125332420300 is an apocalyptic number.

125332420300 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 125332420300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144129525120).

125332420300 is an abundant number, since it is smaller than the sum of its proper divisors (162926629940).

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

125332420300 is a wasteful number, since it uses less digits than its factorization.

125332420300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 125332420300 its reverse (3024233521), we get a palindrome (128356653821).

The spelling of 125332420300 in words is "one hundred twenty-five billion, three hundred thirty-two million, four hundred twenty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 31 41 50 62 82 100 124 155 164 205 310 410 577 620 775 820 1025 1154 1271 1550 1709 2050 2308 2542 2885 3100 3418 4100 5084 5770 6355 6836 8545 11540 12710 14425 17090 17887 23657 25420 28850 31775 34180 35774 42725 47314 52979 57700 63550 70069 71548 85450 89435 94628 105958 118285 127100 140138 170900 178870 211916 236570 264895 280276 350345 357740 447175 473140 529790 591425 700690 733367 894350 986093 1059580 1182850 1324475 1401380 1466734 1751725 1788700 1972186 2172139 2365700 2648950 2933468 3503450 3666835 3944372 4344278 4930465 5297900 7006900 7333670 8688556 9860930 10860695 14667340 18334175 19721860 21721390 24652325 30568883 36668350 40429813 43442780 49304650 54303475 61137766 73336700 80859626 98609300 108606950 122275532 152844415 161719252 202149065 217213900 305688830 404298130 611377660 764222075 808596260 1010745325 1253324203 1528444150 2021490650 2506648406 3056888300 4042981300 5013296812 6266621015 12533242030 25066484060 31333105075 62666210150 125332420300