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31311212101 = 1329101822313
BaseRepresentation
bin11101001010010010…
…110010111001000101
32222211010120101020021
4131022102302321011
51003111132241401
622214551535141
72155630624441
oct351222627105
988733511207
1031311212101
11123083aa0a4
12609a08a4b1
132c4cc27550
141730647821
15c33cd12a1
hex74a4b2e45

31311212101 has 16 divisors (see below), whose sum is σ = 35227931760. Its totient is φ = 27629683200.

The previous prime is 31311212063. The next prime is 31311212113. The reversal of 31311212101 is 10121211313.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 199543876 + 31111668225 = 14126^2 + 176385^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311212101 - 217 = 31311081029 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 (31311215101) 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 15 ways as a sum of consecutive naturals, for example, 373080 + ... + 449233.

It is an arithmetic number, because the mean of its divisors is an integer number (2201745735).

Almost surely, 231311212101 is an apocalyptic number.

It is an amenable number.

31311212101 is a deficient number, since it is larger than the sum of its proper divisors (3916719659).

31311212101 is a wasteful number, since it uses less digits than its factorization.

31311212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822456.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 31311212101 its reverse (10121211313), we get a palindrome (41432423414).

It can be divided in two parts, 31311212 and 101, that added together give a palindrome (31311313).

The spelling of 31311212101 in words is "thirty-one billion, three hundred eleven million, two hundred twelve thousand, one hundred one".

Divisors: 1 13 29 101 377 1313 2929 38077 822313 10690069 23847077 83053613 310012001 1079696969 2408554777 31311212101