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10202131001 = 17641936233
BaseRepresentation
bin10011000000001100…
…00010101000111001
3222100000002221201202
421200012002220321
5131343221143001
64404203023545
7510550453106
oct114006025071
928300087652
1010202131001
114365923027
121b8880abb5
13c6783c70a
146cad3baad
153ea9d896b
hex260182a39

10202131001 has 8 divisors (see below), whose sum is σ = 10819120104. Its totient is φ = 9587015680.

The previous prime is 10202130949. The next prime is 10202131007. The reversal of 10202131001 is 10013120201.

It can be written as a sum of positive squares in 4 ways, for example, as 7106321401 + 3095809600 = 84299^2 + 55640^2 .

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 10202131001 - 214 = 10202114617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10202131007) 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, 457220 + ... + 479013.

It is an arithmetic number, because the mean of its divisors is an integer number (1352390013).

Almost surely, 210202131001 is an apocalyptic number.

It is an amenable number.

10202131001 is a deficient number, since it is larger than the sum of its proper divisors (616989103).

10202131001 is an equidigital number, since it uses as much as digits as its factorization.

10202131001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936891.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10202131001 its reverse (10013120201), we get a palindrome (20215251202).

The spelling of 10202131001 in words is "ten billion, two hundred two million, one hundred thirty-one thousand, one".

Divisors: 1 17 641 10897 936233 15915961 600125353 10202131001