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11141001442120 = 2351125320457823
BaseRepresentation
bin1010001000011111011101…
…1011101111001101001000
31110110001212112202002101111
42202013313123233031020
52430013232332121440
635410034433500104
72226624254521054
oct242076733571510
943401775662344
1011141001442120
113605965961370
1212bb24aa11634
1362a790609744
142a7327ba8c64
15144c0a2944ea
hexa21f76ef348

11141001442120 has 32 divisors (see below), whose sum is σ = 27346094449920. Its totient is φ = 4051273251520.

The previous prime is 11141001442097. The next prime is 11141001442121. The reversal of 11141001442120 is 2124410014111.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11141001442091 and 11141001442100.

It is not an unprimeable number, because it can be changed into a prime (11141001442121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12660228472 + ... + 12660229351.

It is an arithmetic number, because the mean of its divisors is an integer number (854565451560).

Almost surely, 211141001442120 is an apocalyptic number.

11141001442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11141001442120 is an abundant number, since it is smaller than the sum of its proper divisors (16205093007800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11141001442120 is a wasteful number, since it uses less digits than its factorization.

11141001442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25320457845 (or 25320457841 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 11141001442120 its reverse (2124410014111), we get a palindrome (13265411456231).

The spelling of 11141001442120 in words is "eleven trillion, one hundred forty-one billion, one million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 25320457823 50640915646 101281831292 126602289115 202563662584 253204578230 278525036053 506409156460 557050072106 1012818312920 1114100144212 1392625180265 2228200288424 2785250360530 5570500721060 11141001442120