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13320131332100 = 2252133201313321
BaseRepresentation
bin1100000111010101010110…
…1100100100100000000100
31202011101120212002012001012
43001311111230210200010
53221214112110111400
644155103414021352
72543230162130255
oct301652554444004
952141525065035
1013320131332100
11427604397783a
1215b1645047858
13758110455848
143409aaa78b2c
151817493a4d35
hexc1d55b24804

13320131332100 has 18 divisors (see below), whose sum is σ = 28904684990874. Its totient is φ = 5328052532800.

The previous prime is 13320131332097. The next prime is 13320131332141. The reversal of 13320131332100 is 123313102331.

It can be written as a sum of positive squares in 3 ways, for example, as 64459116544 + 13255672215556 = 253888^2 + 3640834^2 .

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 5 ways as a sum of consecutive naturals, for example, 66600656561 + ... + 66600656760.

Almost surely, 213320131332100 is an apocalyptic number.

13320131332100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13320131332100 is an abundant number, since it is smaller than the sum of its proper divisors (15584553658774).

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

13320131332100 is a wasteful number, since it uses less digits than its factorization.

13320131332100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133201313335 (or 133201313328 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13320131332100 its reverse (123313102331), we get a palindrome (13443444434431).

The spelling of 13320131332100 in words is "thirteen trillion, three hundred twenty billion, one hundred thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133201313321 266402626642 532805253284 666006566605 1332013133210 2664026266420 3330032833025 6660065666050 13320131332100