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34543541201 = 132983389069
BaseRepresentation
bin100000001010111101…
…001001101111010001
310022011101202201011212
4200022331021233101
51031221121304301
623511415545505
72332010153441
oct401275115721
9108141681155
1034543541201
1113716a23864
12684068b295
1333467a5210
141959a4a121
15d729684bb
hex80af49bd1

34543541201 has 8 divisors (see below), whose sum is σ = 37202401320. Its totient is φ = 31884918912.

The previous prime is 34543541173. The next prime is 34543541233. The reversal of 34543541201 is 10214534543.

It can be written as a sum of positive squares in 4 ways, for example, as 21529600 + 34522011601 = 4640^2 + 185801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34543541201 - 234 = 17363672017 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34543541401) 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 7 ways as a sum of consecutive naturals, for example, 343295 + ... + 432363.

It is an arithmetic number, because the mean of its divisors is an integer number (4650300165).

Almost surely, 234543541201 is an apocalyptic number.

It is an amenable number.

34543541201 is a deficient number, since it is larger than the sum of its proper divisors (2658860119).

34543541201 is a wasteful number, since it uses less digits than its factorization.

34543541201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118915.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 34543541201 in words is "thirty-four billion, five hundred forty-three million, five hundred forty-one thousand, two hundred one".

Divisors: 1 13 29833 89069 387829 1157897 2657195477 34543541201