Search a number
-
+
31431402301 = 1321091706281
BaseRepresentation
bin11101010001011101…
…010010001100111101
310000010111201200012011
4131101131102030331
51003332414333201
622234524011221
72161620340255
oct352135221475
9100114650164
1031431402301
111236a230842
126112390b11
132c6bab9c00
1417425b2965
15c3e623151
hex75175233d

31431402301 has 12 divisors (see below), whose sum is σ = 34347456660. Its totient is φ = 28747405440.

The previous prime is 31431402287. The next prime is 31431402389. The reversal of 31431402301 is 10320413413.

It can be written as a sum of positive squares in 6 ways, for example, as 419840100 + 31011562201 = 20490^2 + 176101^2 .

It is not a de Polignac number, because 31431402301 - 27 = 31431402173 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 (31431403301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 834720 + ... + 871561.

It is an arithmetic number, because the mean of its divisors is an integer number (2862288055).

Almost surely, 231431402301 is an apocalyptic number.

It is an amenable number.

31431402301 is a deficient number, since it is larger than the sum of its proper divisors (2916054359).

31431402301 is a wasteful number, since it uses less digits than its factorization.

31431402301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706416 (or 1706403 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 31431402301 its reverse (10320413413), we get a palindrome (41751815714).

The spelling of 31431402301 in words is "thirty-one billion, four hundred thirty-one million, four hundred two thousand, three hundred one".

Divisors: 1 13 109 169 1417 18421 1706281 22181653 185984629 288361489 2417800177 31431402301