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10131212101 = 172332557741
BaseRepresentation
bin10010110111101111…
…00000011101000101
3222011001122220021211
421123313200131011
5131222042241401
64353151011421
7506026611343
oct113367403505
928131586254
1010131212101
11432989466a
121b68b09b71
13c55c3b87a
146c175a993
153e467a951
hex25bde0745

10131212101 has 8 divisors (see below), whose sum is σ = 10773209304. Its totient is φ = 9494330880.

The previous prime is 10131212099. The next prime is 10131212123. The reversal of 10131212101 is 10121213101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 586899076 + 9544313025 = 24226^2 + 97695^2 .

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 10131212101 - 21 = 10131212099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131212141) 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, 1274910 + ... + 1282831.

It is an arithmetic number, because the mean of its divisors is an integer number (1346651163).

Almost surely, 210131212101 is an apocalyptic number.

It is an amenable number.

10131212101 is a deficient number, since it is larger than the sum of its proper divisors (641997203).

10131212101 is a wasteful number, since it uses less digits than its factorization.

10131212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2557991.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10131212101 its reverse (10121213101), we get a palindrome (20252425202).

The spelling of 10131212101 in words is "ten billion, one hundred thirty-one million, two hundred twelve thousand, one hundred one".

Divisors: 1 17 233 3961 2557741 43481597 595953653 10131212101