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10023232300 = 22521729203311
BaseRepresentation
bin10010101010110111…
…00110001100101100
3221212112110221211221
421111123212030230
5131011421413200
64334332353124
7503246032414
oct112533461454
927775427757
1010023232300
114283942864
121b389157a4
13c39762bb3
146b128d644
153d9e4b91a
hex2556e632c

10023232300 has 72 divisors (see below), whose sum is σ = 23824100160. Its totient is φ = 3643315200.

The previous prime is 10023232291. The next prime is 10023232309. The reversal of 10023232300 is 323232001.

10023232300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10023232291) and next prime (10023232309).

It is not an unprimeable number, because it can be changed into a prime (10023232309) 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 23 ways as a sum of consecutive naturals, for example, 52356 + ... + 150955.

It is an arithmetic number, because the mean of its divisors is an integer number (330890280).

Almost surely, 210023232300 is an apocalyptic number.

10023232300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023232300 is an abundant number, since it is smaller than the sum of its proper divisors (13800867860).

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

10023232300 is a wasteful number, since it uses less digits than its factorization.

10023232300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203371 (or 203364 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 10023232300 its reverse (323232001), we get a palindrome (10346464301).

It can be divided in two parts, 100 and 23232300, that added together give a square (23232400 = 48202).

The spelling of 10023232300 in words is "ten billion, twenty-three million, two hundred thirty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 29 34 50 58 68 85 100 116 145 170 290 340 425 493 580 725 850 986 1450 1700 1972 2465 2900 4930 9860 12325 24650 49300 203311 406622 813244 1016555 2033110 3456287 4066220 5082775 5896019 6912574 10165550 11792038 13825148 17281435 20331100 23584076 29480095 34562870 58960190 69125740 86407175 100232323 117920380 147400475 172814350 200464646 294800950 345628700 400929292 501161615 589601900 1002323230 2004646460 2505808075 5011616150 10023232300