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318383768100 = 223521061279227
BaseRepresentation
bin1001010001000010010…
…01101100001000100100
31010102210201020012122010
410220201021230020210
520204022221034400
6402132525034220
732000563243026
oct4504111541044
91112721205563
10318383768100
11113031378382
12518560b5970
132403c7094b8
14115a490a016
1584365c1450
hex4a2126c224

318383768100 has 36 divisors (see below), whose sum is σ = 921190369904. Its totient is φ = 84902338080.

The previous prime is 318383768051. The next prime is 318383768107. The reversal of 318383768100 is 1867383813.

It is a super-4 number, since 4×3183837681004 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 318383768100.

It is not an unprimeable number, because it can be changed into a prime (318383768107) by changing a digit.

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, 530639314 + ... + 530639913.

Almost surely, 2318383768100 is an apocalyptic number.

318383768100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

318383768100 is an abundant number, since it is smaller than the sum of its proper divisors (602806601804).

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

318383768100 is a wasteful number, since it uses less digits than its factorization.

318383768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061279244 (or 1061279237 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 318383768100 in words is "three hundred eighteen billion, three hundred eighty-three million, seven hundred sixty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1061279227 2122558454 3183837681 4245116908 5306396135 6367675362 10612792270 12735350724 15919188405 21225584540 26531980675 31838376810 53063961350 63676753620 79595942025 106127922700 159191884050 318383768100