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31311444121 = 972936731637
BaseRepresentation
bin11101001010010011…
…101011100010011001
32222211011000011111121
4131022103223202121
51003111212202441
622215000525241
72155632612046
oct351223534231
988734004447
1031311444121
1112308548451
12609a180821
132c4cca9039
1417306a81cd
15c33d29dd1
hex74a4eb899

31311444121 has 16 divisors (see below), whose sum is σ = 31808793744. Its totient is φ = 30818156544.

The previous prime is 31311444103. The next prime is 31311444149. The reversal of 31311444121 is 12144411313.

It can be written as a sum of positive squares in 8 ways, for example, as 638825625 + 30672618496 = 25275^2 + 175136^2 .

It is a cyclic number.

It is not a de Polignac number, because 31311444121 - 213 = 31311435929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31311444161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19126515 + ... + 19128151.

It is an arithmetic number, because the mean of its divisors is an integer number (1988049609).

Almost surely, 231311444121 is an apocalyptic number.

It is an amenable number.

31311444121 is a deficient number, since it is larger than the sum of its proper divisors (497349623).

31311444121 is a wasteful number, since it uses less digits than its factorization.

31311444121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2700.

The product of its digits is 1152, while the sum is 25.

Adding to 31311444121 its reverse (12144411313), we get a palindrome (43455855434).

The spelling of 31311444121 in words is "thirty-one billion, three hundred eleven million, four hundred forty-four thousand, one hundred twenty-one".

Divisors: 1 97 293 673 1637 28421 65281 158789 197189 479641 1101701 19127333 46525177 106864997 322798393 31311444121