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10013232300 = 22352371914723
BaseRepresentation
bin10010101001101010…
…11100110010101100
3221211211122220102120
421110311130302230
5131001341413200
64333334152540
7503065033041
oct112465346254
927754586376
1010013232300
1142792326a5
121b354b2750
13c37671336
146adc091c8
153d91239a0
hex254d5ccac

10013232300 has 144 divisors (see below), whose sum is σ = 29916751872. Its totient is φ = 2583878400.

The previous prime is 10013232293. The next prime is 10013232331. The reversal of 10013232300 is 323231001.

10013232300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10013232300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2117739 + ... + 2122461.

Almost surely, 210013232300 is an apocalyptic number.

10013232300 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 10013232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958375936).

10013232300 is an abundant number, since it is smaller than the sum of its proper divisors (19903519572).

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

10013232300 is a wasteful number, since it uses less digits than its factorization.

10013232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4968 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10013232300 its reverse (323231001), we get a palindrome (10336463301).

The spelling of 10013232300 in words is "ten billion, thirteen million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 191 222 300 370 382 444 555 573 740 764 925 955 1110 1146 1850 1910 2220 2292 2775 2865 3700 3820 4723 4775 5550 5730 7067 9446 9550 11100 11460 14134 14169 14325 18892 19100 21201 23615 28268 28338 28650 35335 42402 47230 56676 57300 70670 70845 84804 94460 106005 118075 141340 141690 174751 176675 212010 236150 283380 349502 353350 354225 424020 472300 524253 530025 699004 706700 708450 873755 902093 1048506 1060050 1416900 1747510 1804186 2097012 2120100 2621265 2706279 3495020 3608372 4368775 4510465 5242530 5412558 8737550 9020930 10485060 10825116 13106325 13531395 17475100 18041860 22552325 26212650 27062790 33377441 45104650 52425300 54125580 66754882 67656975 90209300 100132323 133509764 135313950 166887205 200264646 270627900 333774410 400529292 500661615 667548820 834436025 1001323230 1668872050 2002646460 2503308075 3337744100 5006616150 10013232300