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2131103320032 = 253127917356523
BaseRepresentation
bin11111000000101111101…
…010000000011111100000
321112201202020212120010210
4133000233222000133200
5234403444422220112
64311003152054120
7306652504223631
oct37005752003740
97481666776123
102131103320032
117518832a2655
122a5032234340
13125c67baca9b
14752086bd888
153a67cb30b3c
hex1f02fa807e0

2131103320032 has 48 divisors (see below), whose sum is σ = 5598520381440. Its totient is φ = 709812323712.

The previous prime is 2131103319977. The next prime is 2131103320039. The reversal of 2131103320032 is 2300233011312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 2131103319990 and 2131103320008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131103320039) 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 7 ways as a sum of consecutive naturals, for example, 8555478 + ... + 8801045.

It is an arithmetic number, because the mean of its divisors is an integer number (116635841280).

Almost surely, 22131103320032 is an apocalyptic number.

It is an amenable number.

2131103320032 is an abundant number, since it is smaller than the sum of its proper divisors (3467417061408).

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

2131103320032 is a wasteful number, since it uses less digits than its factorization.

2131103320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17357815 (or 17357807 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 2131103320032 its reverse (2300233011312), we get a palindrome (4431336331344).

The spelling of 2131103320032 in words is "two trillion, one hundred thirty-one billion, one hundred three million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1279 2558 3837 5116 7674 10232 15348 20464 30696 40928 61392 122784 17356523 34713046 52069569 69426092 104139138 138852184 208278276 277704368 416556552 555408736 833113104 1666226208 22198992917 44397985834 66596978751 88795971668 133193957502 177591943336 266387915004 355183886672 532775830008 710367773344 1065551660016 2131103320032