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10202242300 = 22521710159419
BaseRepresentation
bin10011000000001100…
…11101110011111100
3222100000022121101221
421200012131303330
5131343233223200
64404205243124
7510551425435
oct114006356374
928300277357
1010202242300
114365999708
121b888634a4
13c6787b283
146cad6a48c
153eaa0b91a
hex26019dcfc

10202242300 has 72 divisors (see below), whose sum is σ = 23673641040. Its totient is φ = 3802752000.

The previous prime is 10202242289. The next prime is 10202242343. The reversal of 10202242300 is 324220201.

10202242300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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, 141991 + ... + 201409.

It is an arithmetic number, because the mean of its divisors is an integer number (328800570).

Almost surely, 210202242300 is an apocalyptic number.

10202242300 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 10202242300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11836820520).

10202242300 is an abundant number, since it is smaller than the sum of its proper divisors (13471398740).

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

10202242300 is a wasteful number, since it uses less digits than its factorization.

10202242300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59551 (or 59544 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10202242300 its reverse (324220201), we get a palindrome (10526462501).

The spelling of 10202242300 in words is "ten billion, two hundred two million, two hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 101 170 202 340 404 425 505 850 1010 1700 1717 2020 2525 3434 5050 6868 8585 10100 17170 34340 42925 59419 85850 118838 171700 237676 297095 594190 1010123 1188380 1485475 2020246 2970950 4040492 5050615 5941900 6001319 10101230 12002638 20202460 24005276 25253075 30006595 50506150 60013190 101012300 102022423 120026380 150032975 204044846 300065950 408089692 510112115 600131900 1020224230 2040448460 2550560575 5101121150 10202242300