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10211143300 = 2252113903641
BaseRepresentation
bin10011000001010000…
…11010111010000100
3222100122001211021121
421200220122322010
5131403023041200
64405124123324
7511020200041
oct114050327204
928318054247
1010211143300
11436aa19106
121b8b836544
13c69676837
146cc2061c8
153eb6b8e1a
hex260a1ae84

10211143300 has 36 divisors (see below), whose sum is σ = 22354295796. Its totient is φ = 4048307200.

The previous prime is 10211143291. The next prime is 10211143321. The reversal of 10211143300 is 334111201.

It can be written as a sum of positive squares in 6 ways, for example, as 4436359236 + 5774784064 = 66606^2 + 75992^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 440521 + ... + 463120.

It is an arithmetic number, because the mean of its divisors is an integer number (620952661).

Almost surely, 210211143300 is an apocalyptic number.

10211143300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211143300 is an abundant number, since it is smaller than the sum of its proper divisors (12143152496).

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

10211143300 is a wasteful number, since it uses less digits than its factorization.

10211143300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903768 (or 903761 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10211143300 its reverse (334111201), we get a palindrome (10545254501).

The spelling of 10211143300 in words is "ten billion, two hundred eleven million, one hundred forty-three thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 226 452 565 1130 2260 2825 5650 11300 903641 1807282 3614564 4518205 9036410 18072820 22591025 45182050 90364100 102111433 204222866 408445732 510557165 1021114330 2042228660 2552785825 5105571650 10211143300