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34041121301 = 1122989109001
BaseRepresentation
bin11111101101000000…
…100100101000010101
310020212101101010122102
4133231000210220111
51024204011340201
623345511211445
72313366520415
oct375500445025
9106771333572
1034041121301
1113489364300
126720376b85
133296683835
14190d024645
15d437c326b
hex7ed024a15

34041121301 has 24 divisors (see below), whose sum is σ = 39142618200. Its totient is φ = 29543360000.

The previous prime is 34041121277. The next prime is 34041121307. The reversal of 34041121301 is 10312114043.

It can be written as a sum of positive squares in 4 ways, for example, as 1262380900 + 32778740401 = 35530^2 + 181049^2 .

It is not a de Polignac number, because 34041121301 - 26 = 34041121237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34041121307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257801 + ... + 366801.

It is an arithmetic number, because the mean of its divisors is an integer number (1630942425).

Almost surely, 234041121301 is an apocalyptic number.

It is an amenable number.

34041121301 is a deficient number, since it is larger than the sum of its proper divisors (5101496899).

34041121301 is a wasteful number, since it uses less digits than its factorization.

34041121301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109141 (or 109130 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 34041121301 its reverse (10312114043), we get a palindrome (44353235344).

The spelling of 34041121301 in words is "thirty-four billion, forty-one million, one hundred twenty-one thousand, three hundred one".

Divisors: 1 11 29 89 121 319 979 2581 3509 10769 28391 109001 312301 1199011 3161029 9701089 13189121 34771319 106711979 281331581 382484509 1173831769 3094647391 34041121301