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201131221332 = 223179673139133
BaseRepresentation
bin1011101101010001011…
…0101110000101010100
3201020011011212200102210
42323110112232011110
511243404043040312
6232222020033420
720350135113246
oct2732426560524
9636134780383
10201131221332
1178332370568
1232b92532870
1315c747b1a02
149a4042a096
155372925e3c
hex2ed45ae154

201131221332 has 48 divisors (see below), whose sum is σ = 472632632640. Its totient is φ = 66569653248.

The previous prime is 201131221327. The next prime is 201131221337. The reversal of 201131221332 is 233122131102.

201131221332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201131221327) and next prime (201131221337).

It is a junction number, because it is equal to n+sod(n) for n = 201131221299 and 201131221308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201131221337) 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 15 ways as a sum of consecutive naturals, for example, 1376038 + ... + 1515170.

It is an arithmetic number, because the mean of its divisors is an integer number (9846513180).

Almost surely, 2201131221332 is an apocalyptic number.

It is an amenable number.

201131221332 is an abundant number, since it is smaller than the sum of its proper divisors (271501411308).

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

201131221332 is a wasteful number, since it uses less digits than its factorization.

201131221332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139992 (or 139990 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 201131221332 its reverse (233122131102), we get a palindrome (434253352434).

The spelling of 201131221332 in words is "two hundred one billion, one hundred thirty-one million, two hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 179 358 537 673 716 1074 1346 2019 2148 2692 4038 8076 120467 139133 240934 278266 361401 417399 481868 556532 722802 834798 1445604 1669596 24904807 49809614 74714421 93636509 99619228 149428842 187273018 280909527 298857684 374546036 561819054 1123638108 16760935111 33521870222 50282805333 67043740444 100565610666 201131221332