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23201130300 = 223521572811753
BaseRepresentation
bin10101100110111001…
…010010011100111100
32012212221000112111020
4111212321102130330
5340003442132200
614354120424140
71450642232205
oct254671223474
965787015436
1023201130300
119926484657
1245b6018050
132259950a8a
1411a14c65ac
1590bcddea0
hex566e5273c

23201130300 has 144 divisors (see below), whose sum is σ = 67835262432. Its totient is φ = 6122188800.

The previous prime is 23201130283. The next prime is 23201130311. The reversal of 23201130300 is 303110232.

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 23201130300.

It is a congruent number.

It is an unprimeable number.

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, 13234224 + ... + 13235976.

Almost surely, 223201130300 is an apocalyptic number.

23201130300 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 23201130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33917631216).

23201130300 is an abundant number, since it is smaller than the sum of its proper divisors (44634132132).

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

23201130300 is a wasteful number, since it uses less digits than its factorization.

23201130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2208 (or 2201 counting only the distinct ones).

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

Adding to 23201130300 its reverse (303110232), we get a palindrome (23504240532).

The spelling of 23201130300 in words is "twenty-three billion, two hundred one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 281 300 314 471 562 628 785 843 942 1124 1405 1570 1686 1753 1884 2355 2810 3140 3372 3506 3925 4215 4710 5259 5620 7012 7025 7850 8430 8765 9420 10518 11775 14050 15700 16860 17530 21036 21075 23550 26295 28100 35060 42150 43825 44117 47100 52590 84300 87650 88234 105180 131475 132351 175300 176468 220585 262950 264702 275221 441170 492593 525900 529404 550442 661755 825663 882340 985186 1100884 1102925 1323510 1376105 1477779 1651326 1970372 2205850 2462965 2647020 2752210 2955558 3302652 3308775 4128315 4411700 4925930 5504420 5911116 6617550 6880525 7388895 8256630 9851860 12314825 13235100 13761050 14777790 16513260 20641575 24629650 27522100 29555580 36944475 41283150 49259300 73888950 77337101 82566300 147777900 154674202 232011303 309348404 386685505 464022606 773371010 928045212 1160056515 1546742020 1933427525 2320113030 3866855050 4640226060 5800282575 7733710100 11600565150 23201130300