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11111001444131 = 172101337952983
BaseRepresentation
bin1010000110101111101101…
…0010110100111100100011
31110100012102210110021202212
42201223323102310330203
52424020312332203011
635344153521432335
72224512654661061
oct241537322647443
943305383407685
1011111001444131
1135a41707198a6
1212b5477a9b6ab
136279bc245544
142a5abd761031
1514405166b08b
hexa1afb4b4f23

11111001444131 has 12 divisors (see below), whose sum is σ = 11814688013232. Its totient is φ = 10447089637248.

The previous prime is 11111001444121. The next prime is 11111001444133. The reversal of 11111001444131 is 13144410011111.

It is not a de Polignac number, because 11111001444131 - 234 = 11093821574947 is a prime.

It is a super-2 number, since 2×111110014441312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11111001444097 and 11111001444106.

It is not an unprimeable number, because it can be changed into a prime (11111001444133) 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, 18683735 + ... + 19269248.

It is an arithmetic number, because the mean of its divisors is an integer number (984557334436).

Almost surely, 211111001444131 is an apocalyptic number.

11111001444131 is a deficient number, since it is larger than the sum of its proper divisors (703686569101).

11111001444131 is a wasteful number, since it uses less digits than its factorization.

11111001444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37954030 (or 37954013 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 23.

Adding to 11111001444131 its reverse (13144410011111), we get a palindrome (24255411455242).

The spelling of 11111001444131 in words is "eleven trillion, one hundred eleven billion, one million, four hundred forty-four thousand, one hundred thirty-one".

Divisors: 1 17 289 1013 17221 292757 37952983 645200711 10968412087 38446371779 653588320243 11111001444131