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13132120001 = 7211131874143
BaseRepresentation
bin11000011101011110…
…00011111111000001
31020220012101211000212
430032233003333001
5203343310320001
610011030523505
7643266115100
oct141657037701
936805354025
1013132120001
115629815140
122665b06595
131313880410
148c811c037
1551cd4d7bb
hex30ebc3fc1

13132120001 has 24 divisors (see below), whose sum is σ = 17946802944. Its totient is φ = 9445675680.

The previous prime is 13132119961. The next prime is 13132120003. The reversal of 13132120001 is 10002123131.

It is not a de Polignac number, because 13132120001 - 210 = 13132118977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13132120003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930065 + ... + 944078.

It is an arithmetic number, because the mean of its divisors is an integer number (747783456).

Almost surely, 213132120001 is an apocalyptic number.

13132120001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13132120001 is a deficient number, since it is larger than the sum of its proper divisors (4814682943).

13132120001 is a wasteful number, since it uses less digits than its factorization.

13132120001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874181 (or 1874174 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13132120001 its reverse (10002123131), we get a palindrome (23134243132).

The spelling of 13132120001 in words is "thirteen billion, one hundred thirty-two million, one hundred twenty thousand, one".

Divisors: 1 7 11 13 49 77 91 143 539 637 1001 7007 1874143 13119001 20615573 24363859 91833007 144309011 170547013 268002449 1010163077 1193829091 1876017143 13132120001