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13302331300 = 22521917939113
BaseRepresentation
bin11000110001110000…
…10111011110100100
31021100001200110001001
430120320113132210
5204220344100200
610035551043044
7650433643666
oct143070273644
937301613031
1013302331300
115706901435
1226b2b10484
13133cc0796b
14902988536
1552cc7176a
hex318e177a4

13302331300 has 72 divisors (see below), whose sum is σ = 30555856800. Its totient is φ = 5012593920.

The previous prime is 13302331213. The next prime is 13302331303. The reversal of 13302331300 is 313320331.

13302331300 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 (19).

It is not an unprimeable number, because it can be changed into a prime (13302331303) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 320544 + ... + 359656.

It is an arithmetic number, because the mean of its divisors is an integer number (424386900).

Almost surely, 213302331300 is an apocalyptic number.

13302331300 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 13302331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15277928400).

13302331300 is an abundant number, since it is smaller than the sum of its proper divisors (17253525500).

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

13302331300 is a wasteful number, since it uses less digits than its factorization.

13302331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39325 (or 39318 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 13302331300 its reverse (313320331), we get a palindrome (13615651631).

The spelling of 13302331300 in words is "thirteen billion, three hundred two million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 179 190 358 380 475 716 895 950 1790 1900 3401 3580 4475 6802 8950 13604 17005 17900 34010 39113 68020 78226 85025 156452 170050 195565 340100 391130 743147 782260 977825 1486294 1955650 2972588 3715735 3911300 7001227 7431470 14002454 14862940 18578675 28004908 35006135 37157350 70012270 74314700 133023313 140024540 175030675 266046626 350061350 532093252 665116565 700122700 1330233130 2660466260 3325582825 6651165650 13302331300