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10420987900 = 2252312108439
BaseRepresentation
bin10011011010010001…
…11010011111111100
3222220020221000221211
421231020322133330
5132320233103100
64442021534204
7516145635631
oct115510723774
928806830854
1010420987900
1144684154a4
122029b74364
13ca0c99a3b
1470c02c188
1540ed1a1ba
hex26d23a7fc

10420987900 has 54 divisors (see below), whose sum is σ = 23366759640. Its totient is φ = 4033893600.

The previous prime is 10420987897. The next prime is 10420987933. The reversal of 10420987900 is 978902401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 41881 + ... + 150319.

Almost surely, 210420987900 is an apocalyptic number.

10420987900 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 10420987900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11683379820).

10420987900 is an abundant number, since it is smaller than the sum of its proper divisors (12945771740).

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

10420987900 is a wasteful number, since it uses less digits than its factorization.

10420987900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108515 (or 108477 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 10420987900 in words is "ten billion, four hundred twenty million, nine hundred eighty-seven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 961 1550 1922 3100 3844 4805 9610 19220 24025 48050 96100 108439 216878 433756 542195 1084390 2168780 2710975 3361609 5421950 6723218 10843900 13446436 16808045 33616090 67232180 84040225 104209879 168080450 208419758 336160900 416839516 521049395 1042098790 2084197580 2605246975 5210493950 10420987900