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10504340300 = 2252536132491
BaseRepresentation
bin10011100100001101…
…11000001101001100
31000010001202202221202
421302012320031030
5133003102342200
64454200245032
7521210263556
oct116206701514
930101682852
1010504340300
114500476383
122051a70778
13cb5331c9c
147191284d6
154172d21d5
hex2721b834c

10504340300 has 72 divisors (see below), whose sum is σ = 23605957872. Its totient is φ = 4054752000.

The previous prime is 10504340279. The next prime is 10504340303. The reversal of 10504340300 is 304340501.

It is a super-2 number, since 2×105043403002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10504340303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307055 + ... + 339545.

It is an arithmetic number, because the mean of its divisors is an integer number (327860526).

Almost surely, 210504340300 is an apocalyptic number.

10504340300 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 10504340300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802978936).

10504340300 is an abundant number, since it is smaller than the sum of its proper divisors (13101617572).

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

10504340300 is a wasteful number, since it uses less digits than its factorization.

10504340300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32619 (or 32612 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 10504340300 its reverse (304340501), we get a palindrome (10808680801).

The spelling of 10504340300 in words is "ten billion, five hundred four million, three hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 53 61 100 106 122 212 244 265 305 530 610 1060 1220 1325 1525 2650 3050 3233 5300 6100 6466 12932 16165 32330 32491 64660 64982 80825 129964 161650 162455 323300 324910 649820 812275 1624550 1722023 1981951 3249100 3444046 3963902 6888092 7927804 8610115 9909755 17220230 19819510 34440460 39639020 43050575 49548775 86101150 99097550 105043403 172202300 198195100 210086806 420173612 525217015 1050434030 2100868060 2626085075 5252170150 10504340300