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10011330300 = 2235279641659
BaseRepresentation
bin10010101001011100…
…01100011011111100
3221211201002021101010
421110232030123330
5131000400032200
64333225315220
7503042621616
oct112456143374
927751067333
1010011330300
1142781536a4
121b34935b10
13c371566aa
146ad871db6
153d8d9a150
hex254b8c6fc

10011330300 has 144 divisors (see below), whose sum is σ = 29423116800. Its totient is φ = 2627788800.

The previous prime is 10011330289. The next prime is 10011330317. The reversal of 10011330300 is 303311001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 15191371 + ... + 15192029.

It is an arithmetic number, because the mean of its divisors is an integer number (204327200).

Almost surely, 210011330300 is an apocalyptic number.

10011330300 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 10011330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14711558400).

10011330300 is an abundant number, since it is smaller than the sum of its proper divisors (19411786500).

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

10011330300 is a wasteful number, since it uses less digits than its factorization.

10011330300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1396 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10011330300 its reverse (303311001), we get a palindrome (10314641301).

The spelling of 10011330300 in words is "ten billion, eleven million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 641 659 790 948 1185 1282 1318 1580 1923 1975 1977 2370 2564 2636 3205 3295 3846 3950 3954 4740 5925 6410 6590 7692 7900 7908 9615 9885 11850 12820 13180 16025 16475 19230 19770 23700 32050 32950 38460 39540 48075 49425 50639 52061 64100 65900 96150 98850 101278 104122 151917 156183 192300 197700 202556 208244 253195 260305 303834 312366 422419 506390 520610 607668 624732 759585 780915 844838 1012780 1041220 1265975 1267257 1301525 1519170 1561830 1689676 2112095 2531950 2534514 2603050 3038340 3123660 3797925 3904575 4224190 5063900 5069028 5206100 6336285 7595850 7809150 8448380 10560475 12672570 15191700 15618300 21120950 25345140 31681425 33371101 42241900 63362850 66742202 100113303 126725700 133484404 166855505 200226606 333711010 400453212 500566515 667422020 834277525 1001133030 1668555050 2002266060 2502832575 3337110100 5005665150 10011330300