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103446323644301 = 1125294891614629
BaseRepresentation
bin10111100001010101111001…
…010111111100011110001101
3111120021101001011021010102022
4113201111321113330132031
5102024331032323104201
61004002330210535525
730534515222604041
oct2741257127743615
9446241034233368
10103446323644301
112aa63380947900
12b7287105975a5
134594c3c4bb3a1
141b78b86254021
15be5d2265b41b
hex5e15795fc78d

103446323644301 has 12 divisors (see below), whose sum is σ = 113705748347100. Its totient is φ = 94041876551040.

The previous prime is 103446323644289. The next prime is 103446323644309.

103446323644301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21630861508201 + 81815462136100 = 4650899^2 + 9045190^2 .

It is a de Polignac number, because none of the positive numbers 2k-103446323644301 is a prime.

It is a super-2 number, since 2×1034463236443012 (a number of 29 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 (103446323644309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63260855 + ... + 64875483.

It is an arithmetic number, because the mean of its divisors is an integer number (9475479028925).

Almost surely, 2103446323644301 is an apocalyptic number.

103446323644301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103446323644301 is a deficient number, since it is larger than the sum of its proper divisors (10259424702799).

103446323644301 is a wasteful number, since it uses less digits than its factorization.

103446323644301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144140 (or 2144129 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 44.

The spelling of 103446323644301 in words is "one hundred three trillion, four hundred forty-six billion, three hundred twenty-three million, six hundred forty-four thousand, three hundred one".

Divisors: 1 11 121 529489 1614629 5824379 17760919 64068169 195370109 854928294581 9404211240391 103446323644301