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13200001441 = 112176417113
BaseRepresentation
bin11000100101100100…
…00000100110100001
31021001221010112212021
430102302000212201
5204013200021231
610021453501441
7645052106134
oct142262004641
937057115767
1013200001441
115664069500
1226847a1881
131324959853
148d314c21b
15523cab811
hex312c809a1

13200001441 has 12 divisors (see below), whose sum is σ = 15362570916. Its totient is φ = 11294117120.

The previous prime is 13200001429. The next prime is 13200001453. The reversal of 13200001441 is 14410000231.

It is an interprime number because it is at equal distance from previous prime (13200001429) and next prime (13200001453).

It can be written as a sum of positive squares in 2 ways, for example, as 12343210000 + 856791441 = 111100^2 + 29271^2 .

It is not a de Polignac number, because 13200001441 - 225 = 13166447009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13200001481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3206500 + ... + 3210613.

It is an arithmetic number, because the mean of its divisors is an integer number (1280214243).

Almost surely, 213200001441 is an apocalyptic number.

13200001441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13200001441 is a deficient number, since it is larger than the sum of its proper divisors (2162569475).

13200001441 is a wasteful number, since it uses less digits than its factorization.

13200001441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417152 (or 6417141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 13200001441 its reverse (14410000231), we get a palindrome (27610001672).

The spelling of 13200001441 in words is "thirteen billion, two hundred million, one thousand, four hundred forty-one".

Divisors: 1 11 17 121 187 2057 6417113 70588243 109090921 776470673 1200000131 13200001441