Search a number
-
+
2134134201241 = 7289489368081
BaseRepresentation
bin11111000011100100010…
…011111001101110011001
321120000120111000021112101
4133003210103321232121
5234431201323414431
64312224022243401
7310120556255200
oct37034423715631
97500514007471
102134134201241
11753099135559
122a5739286561
1312632bab7413
1475415044237
153a7a8c74961
hex1f0e44f9b99

2134134201241 has 12 divisors (see below), whose sum is σ = 2510458260660. Its totient is φ = 1808704423680.

The previous prime is 2134134201239. The next prime is 2134134201247. The reversal of 2134134201241 is 1421024314312.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 273717312400 + 1860416888841 = 523180^2 + 1363971^2 .

It is not a de Polignac number, because 2134134201241 - 21 = 2134134201239 is a prime.

It is a super-2 number, since 2×21341342012412 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2134134201247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 244679680 + ... + 244688401.

It is an arithmetic number, because the mean of its divisors is an integer number (209204855055).

Almost surely, 22134134201241 is an apocalyptic number.

It is an amenable number.

2134134201241 is a deficient number, since it is larger than the sum of its proper divisors (376324059419).

2134134201241 is an equidigital number, since it uses as much as digits as its factorization.

2134134201241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489368184 (or 489368177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 2134134201241 its reverse (1421024314312), we get a palindrome (3555158515553).

The spelling of 2134134201241 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-four million, two hundred one thousand, two hundred forty-one".

Divisors: 1 7 49 89 623 4361 489368081 3425576567 23979035969 43553759209 304876314463 2134134201241