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413044200101 = 13171868978281
BaseRepresentation
bin1100000001010110101…
…10100101001010100101
31110111010202112101121002
412000223112211022211
523231403303400401
6513425550403045
741561422525631
oct6005326451245
91414122471532
10413044200101
1114a197756a65
1268073800485
132cc46c17540
1415dc4755dc1
15ab26b7ba6b
hex602b5a52a5

413044200101 has 8 divisors (see below), whose sum is σ = 470982527064. Its totient is φ = 358843829760.

The previous prime is 413044200059. The next prime is 413044200119. The reversal of 413044200101 is 101002440314.

It can be written as a sum of positive squares in 4 ways, for example, as 87379951201 + 325664248900 = 295601^2 + 570670^2 .

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

It is not a de Polignac number, because 413044200101 - 238 = 138166293157 is a prime.

It is a super-2 number, since 2×4130442001012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413044200131) 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, 934488920 + ... + 934489361.

It is an arithmetic number, because the mean of its divisors is an integer number (58872815883).

Almost surely, 2413044200101 is an apocalyptic number.

It is an amenable number.

413044200101 is a deficient number, since it is larger than the sum of its proper divisors (57938326963).

413044200101 is a wasteful number, since it uses less digits than its factorization.

413044200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868978311.

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 413044200101 its reverse (101002440314), we get a palindrome (514046640415).

The spelling of 413044200101 in words is "four hundred thirteen billion, forty-four million, two hundred thousand, one hundred one".

Divisors: 1 13 17 221 1868978281 24296717653 31772630777 413044200101