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34101213325 = 521780238149
BaseRepresentation
bin11111110000100101…
…110011100010001101
310021000120110010101221
4133300211303202031
51024314402311300
623355455203341
72315026350004
oct376045634215
9107016403357
1034101213325
111350a278333
126738516551
1332a5c6364a
141916dc7c3b
15d48be331a
hex7f097388d

34101213325 has 12 divisors (see below), whose sum is σ = 44772887700. Its totient is φ = 25676207360.

The previous prime is 34101213301. The next prime is 34101213329. The reversal of 34101213325 is 52331210143.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4570165609 + 29531047716 = 67603^2 + 171846^2 .

It is not a de Polignac number, because 34101213325 - 215 = 34101180557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 34101213325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34101213329) 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 11 ways as a sum of consecutive naturals, for example, 40118650 + ... + 40119499.

It is an arithmetic number, because the mean of its divisors is an integer number (3731073975).

Almost surely, 234101213325 is an apocalyptic number.

It is an amenable number.

34101213325 is a deficient number, since it is larger than the sum of its proper divisors (10671674375).

34101213325 is a wasteful number, since it uses less digits than its factorization.

34101213325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80238176 (or 80238171 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 34101213325 its reverse (52331210143), we get a palindrome (86432423468).

The spelling of 34101213325 in words is "thirty-four billion, one hundred one million, two hundred thirteen thousand, three hundred twenty-five".

Divisors: 1 5 17 25 85 425 80238149 401190745 1364048533 2005953725 6820242665 34101213325