Search a number
-
+
31211444201 = 72636968249
BaseRepresentation
bin11101000100010110…
…001101011111101001
32222120011211122101212
4131010112031133221
51002410112203301
622201025322505
72153306620100
oct350426153751
988504748355
1031211444201
1112267056a93
126070796435
132c353655a2
1417212b7037
15c2a1754bb
hex74458d7e9

31211444201 has 6 divisors (see below), whose sum is σ = 36307190250. Its totient is φ = 26752666416.

The previous prime is 31211444197. The next prime is 31211444203. The reversal of 31211444201 is 10244411213.

It can be written as a sum of positive squares in only one way, i.e., 30723078400 + 488365801 = 175280^2 + 22099^2 .

It is not a de Polignac number, because 31211444201 - 22 = 31211444197 is a prime.

It is a super-2 number, since 2×312114442012 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31211444203) 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 5 ways as a sum of consecutive naturals, for example, 318484076 + ... + 318484173.

It is an arithmetic number, because the mean of its divisors is an integer number (6051198375).

Almost surely, 231211444201 is an apocalyptic number.

It is an amenable number.

31211444201 is a deficient number, since it is larger than the sum of its proper divisors (5095746049).

31211444201 is an equidigital number, since it uses as much as digits as its factorization.

31211444201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636968263 (or 636968256 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 31211444201 its reverse (10244411213), we get a palindrome (41455855414).

The spelling of 31211444201 in words is "thirty-one billion, two hundred eleven million, four hundred forty-four thousand, two hundred one".

Divisors: 1 7 49 636968249 4458777743 31211444201