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20300113100 = 22521729478761
BaseRepresentation
bin10010111001111110…
…110010010011001100
31221101202020121000202
4102321332302103030
5313033312104400
613154205513032
71316025054131
oct227176622314
957352217022
1020300113100
118677980483
123b26572778
131bb6915057
14da80c8588
157dc29d4d5
hex4b9fb24cc

20300113100 has 144 divisors (see below), whose sum is σ = 49283095680. Its totient is φ = 7221043200.

The previous prime is 20300113091. The next prime is 20300113109. The reversal of 20300113100 is 131100302.

It is an interprime number because it is at equal distance from previous prime (20300113091) and next prime (20300113109).

It is a super-2 number, since 2×203001131002 (a number of 21 digits) contains 22 as substring.

20300113100 is a modest number, since divided by 113100 gives 20300 as remainder.

It is not an unprimeable number, because it can be changed into a prime (20300113109) by changing a digit.

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, 2312720 + ... + 2321480.

It is an arithmetic number, because the mean of its divisors is an integer number (342243720).

Almost surely, 220300113100 is an apocalyptic number.

20300113100 is a gapful number since it is divisible by the number (20) 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 20300113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24641547840).

20300113100 is an abundant number, since it is smaller than the sum of its proper divisors (28982982580).

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

20300113100 is a wasteful number, since it uses less digits than its factorization.

20300113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8868 (or 8861 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 20300113100 its reverse (131100302), we get a palindrome (20431213402).

The spelling of 20300113100 in words is "twenty billion, three hundred million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 47 50 58 68 85 94 100 116 145 170 188 235 290 340 425 470 493 580 725 799 850 940 986 1175 1363 1450 1598 1700 1972 2350 2465 2726 2900 3196 3995 4700 4930 5452 6815 7990 8761 9860 12325 13630 15980 17522 19975 23171 24650 27260 34075 35044 39950 43805 46342 49300 68150 79900 87610 92684 115855 136300 148937 175220 219025 231710 254069 297874 411767 438050 463420 508138 579275 595748 744685 823534 876100 1016276 1158550 1270345 1489370 1647068 2058835 2317100 2540690 2978740 3723425 4117670 4319173 5081380 6351725 7000039 7446850 8235340 8638346 10294175 11941243 12703450 14000078 14893700 17276692 20588350 21595865 23882486 25406900 28000156 35000195 41176700 43191730 47764972 59706215 70000390 86383460 107979325 119412430 140000780 175000975 203001131 215958650 238824860 298531075 350001950 406002262 431917300 597062150 700003900 812004524 1015005655 1194124300 2030011310 4060022620 5075028275 10150056550 20300113100