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213313323132 = 223271365113957
BaseRepresentation
bin1100011010101001110…
…1110000000001111100
3202101121011122120111100
43012222131300001330
511443331202320012
6241554512453100
721261050221110
oct3065235600174
9671534576440
10213313323132
118251389a998
123541224a190
13171665a4c80
14a4782cb740
1558371678dc
hex31aa77007c

213313323132 has 72 divisors (see below), whose sum is σ = 663641459936. Its totient is φ = 56258457984.

The previous prime is 213313323053. The next prime is 213313323137. The reversal of 213313323132 is 231323313312.

213313323132 is a `hidden beast` number, since 2 + 1 + 3 + 313 + 32 + 313 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 213313323096 and 213313323105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213313323137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32553703 + ... + 32560254.

Almost surely, 2213313323132 is an apocalyptic number.

It is an amenable number.

213313323132 is an abundant number, since it is smaller than the sum of its proper divisors (450328136804).

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

213313323132 is a wasteful number, since it uses less digits than its factorization.

213313323132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65113987 (or 65113982 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 213313323132 its reverse (231323313312), we get a palindrome (444636636444).

The spelling of 213313323132 in words is "two hundred thirteen billion, three hundred thirteen million, three hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 65113957 130227914 195341871 260455828 390683742 455797699 586025613 781367484 846481441 911595398 1172051226 1367393097 1692962882 1823190796 2344102452 2539444323 2734786194 3385925764 4102179291 5078888646 5469572388 5925370087 7618332969 8204358582 10157777292 11850740174 15236665938 16408717164 17776110261 23701480348 30473331876 35552220522 53328330783 71104441044 106656661566 213313323132