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10221001300 = 2252678115073
BaseRepresentation
bin10011000010011100…
…00001101001010100
3222101022121122220201
421201032001221110
5131413034020200
64410115310244
7511200035416
oct114116015124
928338548821
1010221001300
114375541614
121b92bab384
13c6b718883
146cd6509b6
153ec4b4c6a
hex261381a54

10221001300 has 36 divisors (see below), whose sum is σ = 22184315356. Its totient is φ = 4087526400.

The previous prime is 10221001291. The next prime is 10221001319. The reversal of 10221001300 is 310012201.

It can be written as a sum of positive squares in 6 ways, for example, as 341436484 + 9879564816 = 18478^2 + 99396^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 670564 + ... + 685636.

Almost surely, 210221001300 is an apocalyptic number.

10221001300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221001300 is an abundant number, since it is smaller than the sum of its proper divisors (11963314056).

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

10221001300 is a wasteful number, since it uses less digits than its factorization.

10221001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21868 (or 21861 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10221001300 its reverse (310012201), we get a palindrome (10531013501).

The spelling of 10221001300 in words is "ten billion, two hundred twenty-one million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 6781 13562 15073 27124 30146 33905 60292 67810 75365 135620 150730 169525 301460 339050 376825 678100 753650 1507300 102210013 204420026 408840052 511050065 1022100130 2044200260 2555250325 5110500650 10221001300