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101015131513 = 2929311888329
BaseRepresentation
bin101111000010011111…
…0001001010101111001
3100122201220210100220011
41132010332021111321
53123334333202023
6114223344501521
710204151310412
oct1360476112571
9318656710804
10101015131513
113992745446a
12176b191a8a1
1396aac1708a
144c63bca809
15296340950d
hex1784f89579

101015131513 has 8 divisors (see below), whose sum is σ = 104855070600. Its totient is φ = 97198969728.

The previous prime is 101015131487. The next prime is 101015131519. The reversal of 101015131513 is 315131510101.

It can be written as a sum of positive squares in 4 ways, for example, as 62594035344 + 38421096169 = 250188^2 + 196013^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 101015131513 - 221 = 101013034361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101015131519) 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, 5935668 + ... + 5952661.

It is an arithmetic number, because the mean of its divisors is an integer number (13106883825).

Almost surely, 2101015131513 is an apocalyptic number.

It is an amenable number.

101015131513 is a deficient number, since it is larger than the sum of its proper divisors (3839939087).

101015131513 is a wasteful number, since it uses less digits than its factorization.

101015131513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11888651.

The product of its (nonzero) digits is 225, while the sum is 22.

Adding to 101015131513 its reverse (315131510101), we get a palindrome (416146641614).

The spelling of 101015131513 in words is "one hundred one billion, fifteen million, one hundred thirty-one thousand, five hundred thirteen".

Divisors: 1 29 293 8497 11888329 344761541 3483280397 101015131513