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13302300100 = 2252133023001
BaseRepresentation
bin11000110001110000…
…01111110111000100
31021100001121212020111
430120320033313010
5204220342100400
610035550242404
7650433454015
oct143070176704
937301555214
1013302300100
11570688aa51
1226b2ab6404
13133cbc66bb
1490297b00c
1552cc673ba
hex318e0fdc4

13302300100 has 18 divisors (see below), whose sum is σ = 28865991434. Its totient is φ = 5320920000.

The previous prime is 13302300091. The next prime is 13302300101. The reversal of 13302300100 is 100320331.

13302300100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 9132484 + 13293167616 = 3022^2 + 115296^2 .

It is not an unprimeable number, because it can be changed into a prime (13302300101) 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 5 ways as a sum of consecutive naturals, for example, 66511401 + ... + 66511600.

Almost surely, 213302300100 is an apocalyptic number.

13302300100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302300100 is an abundant number, since it is smaller than the sum of its proper divisors (15563691334).

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

13302300100 is a wasteful number, since it uses less digits than its factorization.

13302300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133023015 (or 133023008 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 13302300100 its reverse (100320331), we get a palindrome (13402620431).

The spelling of 13302300100 in words is "thirteen billion, three hundred two million, three hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133023001 266046002 532092004 665115005 1330230010 2660460020 3325575025 6651150050 13302300100