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34213310001243 = 32671311588927259
BaseRepresentation
bin1111100011101111010000…
…01100000111000001011011
311111010202112101210021010200
413301313220030013001123
513441022324330014433
6200433213322513243
710130554500446562
oct761675014070133
9144122471707120
1034213310001243
11a9a086861384a
123a06928365823
1316123bbc18919
14863d0c390bd9
153e4e77992613
hex1f1de830705b

34213310001243 has 48 divisors (see below), whose sum is σ = 50544737443200. Its totient is φ = 22294706353920.

The previous prime is 34213310001217. The next prime is 34213310001257. The reversal of 34213310001243 is 34210001331243.

It is a happy number.

34213310001243 is a `hidden beast` number, since 342 + 1 + 3 + 310 + 0 + 0 + 1 + 2 + 4 + 3 = 666.

It is not a de Polignac number, because 34213310001243 - 226 = 34213242892379 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34214310001243) 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 47 ways as a sum of consecutive naturals, for example, 1255106148 + ... + 1255133406.

It is an arithmetic number, because the mean of its divisors is an integer number (1053015363400).

Almost surely, 234213310001243 is an apocalyptic number.

34213310001243 is a deficient number, since it is larger than the sum of its proper divisors (16331427441957).

34213310001243 is a wasteful number, since it uses less digits than its factorization.

34213310001243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43352 (or 43349 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 34213310001243 its reverse (34210001331243), we get a palindrome (68423311332486).

The spelling of 34213310001243 in words is "thirty-four trillion, two hundred thirteen billion, three hundred ten million, one thousand, two hundred forty-three".

Divisors: 1 3 9 67 131 201 393 603 1179 8777 15889 26331 27259 47667 78993 81777 143001 245331 1064563 1826353 2081459 3193689 3570929 5479059 6244377 9581067 10712787 16437177 18733131 32138361 139457753 239252243 418373259 433118251 717756729 1255119777 1299354753 2153270187 3898064259 29018922817 56738490881 87056768451 170215472643 261170305353 510646417929 3801478889027 11404436667081 34213310001243