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10454100500 = 2253197211503
BaseRepresentation
bin10011011110001110…
…01110101000010100
3222222120020022220102
421233013032220110
5132402222204000
64445203353232
7520030250054
oct115707165024
928876208812
1010454100500
114485081488
122039082818
13ca7ac16ac
147125ab564
15412bab3d5
hex26f1cea14

10454100500 has 96 divisors (see below), whose sum is σ = 23102247168. Its totient is φ = 4132464000.

The previous prime is 10454100499. The next prime is 10454100529. The reversal of 10454100500 is 500145401.

10454100500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 31 ways as a sum of consecutive naturals, for example, 20783249 + ... + 20783751.

It is an arithmetic number, because the mean of its divisors is an integer number (240648408).

Almost surely, 210454100500 is an apocalyptic number.

10454100500 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 10454100500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551123584).

10454100500 is an abundant number, since it is smaller than the sum of its proper divisors (12648146668).

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

10454100500 is a wasteful number, since it uses less digits than its factorization.

10454100500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 918 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 10454100500 its reverse (500145401), we get a palindrome (10954245901).

The spelling of 10454100500 in words is "ten billion, four hundred fifty-four million, one hundred thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 197 211 250 394 422 500 503 788 844 985 1006 1055 1970 2012 2110 2515 3940 4220 4925 5030 5275 9850 10060 10550 12575 19700 21100 24625 25150 26375 41567 49250 50300 52750 62875 83134 98500 99091 105500 106133 125750 166268 198182 207835 212266 251500 396364 415670 424532 495455 530665 831340 990910 1039175 1061330 1981820 2078350 2122660 2477275 2653325 4156700 4954550 5195875 5306650 9909100 10391750 10613300 12386375 13266625 20783500 20908201 24772750 26533250 41816402 49545500 53066500 83632804 104541005 209082010 418164020 522705025 1045410050 2090820100 2613525125 5227050250 10454100500