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1653112141101 = 321729393676303
BaseRepresentation
bin11000000011100101001…
…010010111010100101101
312212000222020010210121100
4120003211022113110231
5204041033202003401
63303232414153313
7230301442232331
oct30034512272455
95760866123540
101653112141101
11588098786183
12228473ab2839
13bcb70682075
145a0224957c1
152d0042beb86
hex180e529752d

1653112141101 has 24 divisors (see below), whose sum is σ = 2529150099840. Its totient is φ = 1036893626496.

The previous prime is 1653112141073. The next prime is 1653112141133. The reversal of 1653112141101 is 1011412113561.

It is a happy number.

1653112141101 is a `hidden beast` number, since 1 + 6 + 531 + 1 + 2 + 14 + 110 + 1 = 666.

It is not a de Polignac number, because 1653112141101 - 211 = 1653112139053 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653112141171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1388485 + ... + 2287818.

It is an arithmetic number, because the mean of its divisors is an integer number (105381254160).

Almost surely, 21653112141101 is an apocalyptic number.

It is an amenable number.

1653112141101 is a deficient number, since it is larger than the sum of its proper divisors (876037958739).

1653112141101 is a wasteful number, since it uses less digits than its factorization.

1653112141101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3679265 (or 3679262 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

Adding to 1653112141101 its reverse (1011412113561), we get a palindrome (2664524254662).

The spelling of 1653112141101 in words is "one trillion, six hundred fifty-three billion, one hundred twelve million, one hundred forty-one thousand, one hundred one".

Divisors: 1 3 9 17 51 153 2939 8817 26451 49963 149889 449667 3676303 11028909 33086727 62497151 187491453 562474359 10804654517 32413963551 97241890653 183679126789 551037380367 1653112141101