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10023200304 = 2431382719423
BaseRepresentation
bin10010101010110110…
…11110011000110000
3221212112102022221220
421111123132120300
5131011414402204
64334331545040
7503245540215
oct112533363060
927775368856
1010023200304
114283920817
121b388bb180
13c39751470
146b1281b0c
153d9e421d9
hex2556de630

10023200304 has 80 divisors (see below), whose sum is σ = 27920212992. Its totient is φ = 3080173824.

The previous prime is 10023200303. The next prime is 10023200329. The reversal of 10023200304 is 40300232001.

10023200304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10023200303) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 506337 + ... + 525759.

Almost surely, 210023200304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13960106496).

10023200304 is an abundant number, since it is smaller than the sum of its proper divisors (17897012688).

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

10023200304 is a wasteful number, since it uses less digits than its factorization.

10023200304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20274 (or 20268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 10023200304 its reverse (40300232001), we get a palindrome (50323432305).

The spelling of 10023200304 in words is "ten billion, twenty-three million, two hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 827 1654 2481 3308 4962 6616 9924 10751 13232 19423 19848 21502 32253 38846 39696 43004 58269 64506 77692 86008 116538 129012 155384 172016 233076 252499 258024 310768 466152 504998 516048 757497 932304 1009996 1514994 2019992 3029988 4039984 6059976 12119952 16062821 32125642 48188463 64251284 96376926 128502568 192753852 208816673 257005136 385507704 417633346 626450019 771015408 835266692 1252900038 1670533384 2505800076 3341066768 5011600152 10023200304