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101204040143141 = 13371641171282033
BaseRepresentation
bin10111000000101101100110…
…110111001101000100100101
3111021100000022120021011202022
4113000231212313031010211
5101231111333234040031
6555124254425352525
730213515313404255
oct2700554667150445
9437300276234668
10101204040143141
112a279435305641
12b426030338745
1344616667690a0
141adc431b3d965
15ba783900e97b
hex5c0b66dcd125

101204040143141 has 16 divisors (see below), whose sum is σ = 111935383398384. Its totient is φ = 90893648323584.

The previous prime is 101204040143113. The next prime is 101204040143207. The reversal of 101204040143141 is 141341040402101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13108527124900 + 88095513018241 = 3620570^2 + 9385921^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101204040143141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101204040143141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101204040143441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78299261 + ... + 79581293.

It is an arithmetic number, because the mean of its divisors is an integer number (6995961462399).

Almost surely, 2101204040143141 is an apocalyptic number.

It is an amenable number.

101204040143141 is a deficient number, since it is larger than the sum of its proper divisors (10731343255243).

101204040143141 is a wasteful number, since it uses less digits than its factorization.

101204040143141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446200.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 101204040143141 its reverse (141341040402101), we get a palindrome (242545080545242).

The spelling of 101204040143141 in words is "one hundred one trillion, two hundred four billion, forty million, one hundred forty-three thousand, one hundred forty-one".

Divisors: 1 13 37 481 164117 1282033 2133521 6072329 16666429 47435221 78940277 616657873 210403409861 2735244328193 7784926164857 101204040143141