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201130202832 = 24313769419147
BaseRepresentation
bin1011101101010001001…
…0110101011011010000
3201020011002221221022120
42323110102311123100
511243403312442312
6232221542134240
720350123341666
oct2732422653320
9636132857276
10201130202832
1178331835329
1232b92121380
1315c74516250
149a40242c36
1553727c428c
hex2ed44b56d0

201130202832 has 80 divisors (see below), whose sum is σ = 560283514560. Its totient is φ = 61805592576.

The previous prime is 201130202813. The next prime is 201130202881. The reversal of 201130202832 is 238202031102.

It is a happy number.

201130202832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 270283 + ... + 689429.

It is an arithmetic number, because the mean of its divisors is an integer number (7003543932).

Almost surely, 2201130202832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201130202832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280141757280).

201130202832 is an abundant number, since it is smaller than the sum of its proper divisors (359153311728).

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

201130202832 is a wasteful number, since it uses less digits than its factorization.

201130202832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419940 (or 419934 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 201130202832 its reverse (238202031102), we get a palindrome (439332233934).

The spelling of 201130202832 in words is "two hundred one billion, one hundred thirty million, two hundred two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 769 1538 2307 3076 4614 6152 9228 9997 12304 18456 19994 29991 36912 39988 59982 79976 119964 159952 239928 419147 479856 838294 1257441 1676588 2514882 3353176 5029764 5448911 6706352 10059528 10897822 16346733 20119056 21795644 32693466 43591288 65386932 87182576 130773864 261547728 322324043 644648086 966972129 1289296172 1933944258 2578592344 3867888516 4190212559 5157184688 7735777032 8380425118 12570637677 15471554064 16760850236 25141275354 33521700472 50282550708 67043400944 100565101416 201130202832