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13332332141 = 137157619849
BaseRepresentation
bin11000110101010101…
…10011111001101101
31021102011010122110022
430122222303321231
5204301034112031
610042542051525
7651246645002
oct143252637155
937364118408
1013332332141
115721832517
122700b79ba5
1313461b013b
149069578a9
155306ea97b
hex31aab3e6d

13332332141 has 8 divisors (see below), whose sum is σ = 13515209400. Its totient is φ = 13150695168.

The previous prime is 13332332107. The next prime is 13332332147. The reversal of 13332332141 is 14123323331.

It can be written as a sum of positive squares in 4 ways, for example, as 4081932100 + 9250400041 = 63890^2 + 96179^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13332332141 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13332332141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332332147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288416 + ... + 331433.

It is an arithmetic number, because the mean of its divisors is an integer number (1689401175).

Almost surely, 213332332141 is an apocalyptic number.

It is an amenable number.

13332332141 is a deficient number, since it is larger than the sum of its proper divisors (182877259).

13332332141 is a wasteful number, since it uses less digits than its factorization.

13332332141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620143.

The product of its digits is 3888, while the sum is 26.

Adding to 13332332141 its reverse (14123323331), we get a palindrome (27455655472).

The spelling of 13332332141 in words is "thirteen billion, three hundred thirty-two million, three hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 137 157 21509 619849 84919313 97316293 13332332141