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10232002300 = 22521322734673
BaseRepresentation
bin10011000011101111…
…11111011011111100
3222102002022120110011
421201313333123330
5131423343033200
64411151153004
7511362404332
oct114167773374
928362276404
1010232002300
114380775853
121b96815764
13c70a9ac40
146d0cb5b52
153ed4395ba
hex261dff6fc

10232002300 has 72 divisors (see below), whose sum is σ = 24017431536. Its totient is φ = 3761218560.

The previous prime is 10232002289. The next prime is 10232002301. The reversal of 10232002300 is 320023201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10232002301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 277764 + ... + 312436.

It is an arithmetic number, because the mean of its divisors is an integer number (333575438).

Almost surely, 210232002300 is an apocalyptic number.

10232002300 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 10232002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12008715768).

10232002300 is an abundant number, since it is smaller than the sum of its proper divisors (13785429236).

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

10232002300 is a wasteful number, since it uses less digits than its factorization.

10232002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34927 (or 34920 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 10232002300 its reverse (320023201), we get a palindrome (10552025501).

The spelling of 10232002300 in words is "ten billion, two hundred thirty-two million, two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 227 260 325 454 650 908 1135 1300 2270 2951 4540 5675 5902 11350 11804 14755 22700 29510 34673 59020 69346 73775 138692 147550 173365 295100 346730 450749 693460 866825 901498 1733650 1802996 2253745 3467300 4507490 7870771 9014980 11268725 15741542 22537450 31483084 39353855 45074900 78707710 102320023 157415420 196769275 204640046 393538550 409280092 511600115 787077100 1023200230 2046400460 2558000575 5116001150 10232002300