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31344121301 = 29237270061
BaseRepresentation
bin11101001100010000…
…010101010111010101
32222220102111100011112
4131030100111113111
51003143043340201
622222125144405
72156510430563
oct351420252725
988812440145
1031344121301
1112324a37289
1260a90bb105
132c569aa74c
141734b72a33
15c36b320bb
hex74c4155d5

31344121301 has 6 divisors (see below), whose sum is σ = 32462224002. Its totient is φ = 30263288720.

The previous prime is 31344121241. The next prime is 31344121307. The reversal of 31344121301 is 10312144313.

It can be written as a sum of positive squares in 3 ways, for example, as 14562214276 + 16781907025 = 120674^2 + 129545^2 .

It is a de Polignac number, because none of the positive numbers 2k-31344121301 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 (31344121307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18634190 + ... + 18635871.

It is an arithmetic number, because the mean of its divisors is an integer number (5410370667).

Almost surely, 231344121301 is an apocalyptic number.

It is an amenable number.

31344121301 is a deficient number, since it is larger than the sum of its proper divisors (1118102701).

31344121301 is an equidigital number, since it uses as much as digits as its factorization.

31344121301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37270119 (or 37270090 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 31344121301 its reverse (10312144313), we get a palindrome (41656265614).

The spelling of 31344121301 in words is "thirty-one billion, three hundred forty-four million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 29 841 37270061 1080831769 31344121301