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103444484444301 = 371121323373679847
BaseRepresentation
bin10111100001010100001011…
…101111111101000010001101
3111120021012021222111002022210
4113201110023233331002031
5102024313301004204201
61004001423510301033
730534421520632650
oct2741241357750215
9446235258432283
10103444484444301
112aa62617749700
12b728298657779
134594a08454970
141b78a4dc95897
15be5c65e5d1d6
hex5e150bbfd08d

103444484444301 has 192 divisors, whose sum is σ = 199965177667584. Its totient is φ = 46164698426880.

The previous prime is 103444484444251. The next prime is 103444484444341.

103444484444301 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 103444484444301 - 29 = 103444484443789 is a prime.

It is a super-2 number, since 2×1034444844443012 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103444484444341) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 26271160 + ... + 29951006.

It is an arithmetic number, because the mean of its divisors is an integer number (1041485300352).

Almost surely, 2103444484444301 is an apocalyptic number.

103444484444301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103444484444301 is a deficient number, since it is larger than the sum of its proper divisors (96520693223283).

103444484444301 is a wasteful number, since it uses less digits than its factorization.

103444484444301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679952 (or 3679941 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 48.

The spelling of 103444484444301 in words is "one hundred three trillion, four hundred forty-four billion, four hundred eighty-four million, four hundred forty-four thousand, three hundred one".