Search a number
-
+
31130032232201 = 72635306780249
BaseRepresentation
bin1110001010000000001101…
…00000110101011100001001
311002020000001110200222212012
413011000012200311130021
513040013301222412301
6150112534523425305
76362033135026100
oct705000640653411
9132200043628765
1031130032232201
119a12199700661
1235a9260985235
13144a71b186606
147989b728d037
1538eb6c11debb
hex1c5006835709

31130032232201 has 6 divisors (see below), whose sum is σ = 36212486474250. Its totient is φ = 26682884770416.

The previous prime is 31130032232177. The next prime is 31130032232203. The reversal of 31130032232201 is 10223223003113.

It can be written as a sum of positive squares in only one way, i.e., 30514355040400 + 615677191801 = 5523980^2 + 784651^2 .

It is not a de Polignac number, because 31130032232201 - 26 = 31130032232137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31130032232203) 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, 317653390076 + ... + 317653390173.

It is an arithmetic number, because the mean of its divisors is an integer number (6035414412375).

Almost surely, 231130032232201 is an apocalyptic number.

It is an amenable number.

31130032232201 is a deficient number, since it is larger than the sum of its proper divisors (5082454242049).

31130032232201 is an equidigital number, since it uses as much as digits as its factorization.

31130032232201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635306780263 (or 635306780256 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 31130032232201 its reverse (10223223003113), we get a palindrome (41353255235314).

The spelling of 31130032232201 in words is "thirty-one trillion, one hundred thirty billion, thirty-two million, two hundred thirty-two thousand, two hundred one".

Divisors: 1 7 49 635306780249 4447147461743 31130032232201