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10023330300 = 22352196072897
BaseRepresentation
bin10010101010110111…
…11110000111111100
3221212112122221021120
421111123332013330
5131011433032200
64334334430540
7503246621214
oct112533760774
927775587246
1010023330300
1142839aa455
121b38962450
13c39798699
146b12b7244
153d9e6a9a0
hex2556fe1fc

10023330300 has 144 divisors (see below), whose sum is σ = 30588042240. Its totient is φ = 2527165440.

The previous prime is 10023330293. The next prime is 10023330329. The reversal of 10023330300 is 303332001.

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 10023330300.

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, 3458452 + ... + 3461348.

It is an arithmetic number, because the mean of its divisors is an integer number (212416960).

Almost surely, 210023330300 is an apocalyptic number.

10023330300 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 10023330300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294021120).

10023330300 is an abundant number, since it is smaller than the sum of its proper divisors (20564711940).

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

10023330300 is a wasteful number, since it uses less digits than its factorization.

10023330300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

Adding to 10023330300 its reverse (303332001), we get a palindrome (10326662301).

The spelling of 10023330300 in words is "ten billion, twenty-three million, three hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 607 950 1140 1214 1425 1821 1900 2428 2850 2897 3035 3642 5700 5794 6070 7284 8691 9105 11533 11588 12140 14485 15175 17382 18210 23066 28970 30350 34599 34764 36420 43455 45525 46132 55043 57665 57940 60700 69198 72425 86910 91050 110086 115330 138396 144850 165129 172995 173820 182100 217275 220172 230660 275215 288325 289700 330258 345990 434550 550430 576650 660516 691980 825645 864975 869100 1100860 1153300 1376075 1651290 1729950 1758479 2752150 3302580 3459900 3516958 4128225 5275437 5504300 7033916 8256450 8792395 10550874 16512900 17584790 21101748 26377185 33411101 35169580 43961975 52754370 66822202 87923950 100233303 105508740 131885925 133644404 167055505 175847900 200466606 263771850 334111010 400933212 501166515 527543700 668222020 835277525 1002333030 1670555050 2004666060 2505832575 3341110100 5011665150 10023330300