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2134334400341 = 1113171913458947
BaseRepresentation
bin11111000011110000001…
…111100110011101010101
321120001002102201110001212
4133003300033212131111
5234432104101302331
64312255533231205
7310125540032063
oct37036017463525
97501072643055
102134334400341
11753191144060
122a5794332505
13126361411220
1475433879033
153a7bb61cd2b
hex1f0f03e6755

2134334400341 has 32 divisors (see below), whose sum is σ = 2656361651328. Its totient is φ = 1684809123840.

The previous prime is 2134334400301. The next prime is 2134334400361. The reversal of 2134334400341 is 1430044334312.

It is a cyclic number.

It is not a de Polignac number, because 2134334400341 - 218 = 2134334138197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2134334400298 and 2134334400307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134334400301) 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 31 ways as a sum of consecutive naturals, for example, 4421030 + ... + 4879976.

It is an arithmetic number, because the mean of its divisors is an integer number (83011301604).

Almost surely, 22134334400341 is an apocalyptic number.

It is an amenable number.

2134334400341 is a deficient number, since it is larger than the sum of its proper divisors (522027250987).

2134334400341 is a wasteful number, since it uses less digits than its factorization.

2134334400341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460901.

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 2134334400341 its reverse (1430044334312), we get a palindrome (3564378734653).

The spelling of 2134334400341 in words is "two trillion, one hundred thirty-four billion, three hundred thirty-four million, four hundred thousand, three hundred forty-one".

Divisors: 1 11 13 17 143 187 221 1913 2431 21043 24869 32521 273559 357731 422773 458947 4650503 5048417 5966311 7802099 65629421 85823089 101427287 877965611 1115700157 9657621721 11413552943 14925415387 125549082373 164179569257 194030400031 2134334400341