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2132112310321 = 722953131216107
BaseRepresentation
bin11111000001101011110…
…011000000000000110001
321112211100120110120121111
4133001223303000000301
5234413031222412241
64311251234153321
7310016505420400
oct37015363000061
97484316416544
102132112310321
117522508a6a24
122a5274122841
13126098c47066
14752a26cb637
153a6db4dac81
hex1f06bcc0031

2132112310321 has 48 divisors (see below), whose sum is σ = 2634114479040. Its totient is φ = 1717990834560.

The previous prime is 2132112310319. The next prime is 2132112310351. The reversal of 2132112310321 is 1230132112312.

It is not a de Polignac number, because 2132112310321 - 21 = 2132112310319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2132112310292 and 2132112310301.

It is not an unprimeable number, because it can be changed into a prime (2132112310351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9757950 + ... + 9974056.

It is an arithmetic number, because the mean of its divisors is an integer number (54877384980).

Almost surely, 22132112310321 is an apocalyptic number.

It is an amenable number.

2132112310321 is a deficient number, since it is larger than the sum of its proper divisors (502002168719).

2132112310321 is a wasteful number, since it uses less digits than its factorization.

2132112310321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216334 (or 216327 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2132112310321 its reverse (1230132112312), we get a palindrome (3362244422633).

The spelling of 2132112310321 in words is "two trillion, one hundred thirty-two billion, one hundred twelve million, three hundred ten thousand, three hundred twenty-one".

Divisors: 1 7 29 49 53 131 203 371 917 1421 1537 2597 3799 6419 6943 10759 26593 48601 75313 186151 201347 216107 340207 1409429 1512749 6267103 9866003 10589243 11453671 28310017 43869721 80175697 198170119 307088047 332156459 561229879 820990493 1387190833 1500430901 2325095213 5746933451 10503016307 16275666491 40228534157 43512496129 73521114149 304587472903 2132112310321