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132210000003213 = 32116121892697467
BaseRepresentation
bin11110000011111010001010…
…000101100000000010001101
3122100010011010012220121202200
4132003322022011200002031
5114312112040000100323
61145104234023512113
736563600022611046
oct3603721205400215
9570104105817680
10132210000003213
1139142a45326680
12129b32255b8639
1358a0470b27492
142490dd8c938cd
1510441438a9443
hex783e8a16008d

132210000003213 has 24 divisors (see below), whose sum is σ = 211746169910496. Its totient is φ = 78813710877600.

The previous prime is 132210000003203. The next prime is 132210000003227. The reversal of 132210000003213 is 312300000012231.

132210000003213 is a `hidden beast` number, since 132 + 210 + 0 + 0 + 0 + 0 + 0 + 321 + 3 = 666.

It is not a de Polignac number, because 132210000003213 - 28 = 132210000002957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132210000003203) 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 23 ways as a sum of consecutive naturals, for example, 10946342695 + ... + 10946354772.

It is an arithmetic number, because the mean of its divisors is an integer number (8822757079604).

Almost surely, 2132210000003213 is an apocalyptic number.

It is an amenable number.

132210000003213 is a deficient number, since it is larger than the sum of its proper divisors (79536169907283).

132210000003213 is a wasteful number, since it uses less digits than its factorization.

132210000003213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21892697545 (or 21892697542 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132210000003213 its reverse (312300000012231), we get a palindrome (444510000015444).

The spelling of 132210000003213 in words is "one hundred thirty-two trillion, two hundred ten billion, three thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 61 99 183 549 671 2013 6039 21892697467 65678092401 197034277203 240819672137 722459016411 1335454545487 2167377049233 4006363636461 12019090909383 14690000000357 44070000001071 132210000003213