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10110103300 = 225211192272131
BaseRepresentation
bin10010110101001101…
…11110111100000100
3222002120221110110101
421122212332330010
5131201141301200
64351114333444
7505352313553
oct113246767404
928076843411
1010110103300
114318987280
121b61a2a284
13c5175a85b
146bca23d9a
153e28ab26a
hex25a9bef04

10110103300 has 144 divisors (see below), whose sum is σ = 25315879680. Its totient is φ = 3465936000.

The previous prime is 10110103273. The next prime is 10110103309. The reversal of 10110103300 is 330101101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10110103309) 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, 4743235 + ... + 4745365.

It is an arithmetic number, because the mean of its divisors is an integer number (175804720).

Almost surely, 210110103300 is an apocalyptic number.

10110103300 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 10110103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657939840).

10110103300 is an abundant number, since it is smaller than the sum of its proper divisors (15205776380).

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

10110103300 is a wasteful number, since it uses less digits than its factorization.

10110103300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2402 (or 2395 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 10110103300 its reverse (330101101), we get a palindrome (10440204401).

The spelling of 10110103300 in words is "ten billion, one hundred ten million, one hundred three thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 95 100 110 190 209 220 227 275 380 418 454 475 550 836 908 950 1045 1100 1135 1900 2090 2131 2270 2497 4180 4262 4313 4540 4994 5225 5675 8524 8626 9988 10450 10655 11350 12485 17252 20900 21310 21565 22700 23441 24970 40489 42620 43130 46882 47443 49940 53275 62425 80978 86260 93764 94886 106550 107825 117205 124850 161956 189772 202445 213100 215650 234410 237215 249700 404890 431300 445379 468820 474430 483737 586025 809780 890758 948860 967474 1012225 1172050 1186075 1781516 1934948 2024450 2226895 2344100 2372150 2418685 4048900 4453790 4744300 4837370 5321107 8907580 9191003 9674740 10642214 11134475 12093425 18382006 21284428 22268950 24186850 26605535 36764012 44537900 45955015 48373700 53211070 91910030 101101033 106422140 133027675 183820060 202202066 229775075 266055350 404404132 459550150 505505165 532110700 919100300 1011010330 2022020660 2527525825 5055051650 10110103300