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10131001301 = 174571304029
BaseRepresentation
bin10010110111101101…
…01100111111010101
3222011001021012010102
421123312230333111
5131222014020201
64353142303445
7506025042641
oct113366547725
928131235112
1010131001301
114329760253
121b68a27b85
13c55b96935
146c1703c21
153e463826b
hex25bdacfd5

10131001301 has 8 divisors (see below), whose sum is σ = 10750423320. Its totient is φ = 9514188288.

The previous prime is 10131001297. The next prime is 10131001421. The reversal of 10131001301 is 10310013101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3517083025 + 6613918276 = 59305^2 + 81326^2 .

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 10131001301 - 22 = 10131001297 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 (10131001501) 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, 644246 + ... + 659783.

It is an arithmetic number, because the mean of its divisors is an integer number (1343802915).

Almost surely, 210131001301 is an apocalyptic number.

It is an amenable number.

10131001301 is a deficient number, since it is larger than the sum of its proper divisors (619422019).

10131001301 is a wasteful number, since it uses less digits than its factorization.

10131001301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304503.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10131001301 its reverse (10310013101), we get a palindrome (20441014402).

The spelling of 10131001301 in words is "ten billion, one hundred thirty-one million, one thousand, three hundred one".

Divisors: 1 17 457 7769 1304029 22168493 595941253 10131001301