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213122301101131 = 19231933963163761
BaseRepresentation
bin110000011101010101100111…
…000011010000010001001011
31000221121021220121020020200011
4300131111213003100101023
5210413243433040214011
62033135011123052351
762614402204310242
oct6035254703202113
91027537817206604
10213122301101131
11619a8729980534
121baa06435110b7
1391bc467aa0a56
143a8b262829959
151998c00719621
hexc1d5670d044b

213122301101131 has 32 divisors (see below), whose sum is σ = 235315691182080. Its totient is φ = 192118326681600.

The previous prime is 213122301101119. The next prime is 213122301101183. The reversal of 213122301101131 is 131101103221312.

It is a cyclic number.

It is not a de Polignac number, because 213122301101131 - 233 = 213113711166539 is a prime.

It is a super-2 number, since 2×2131223011011312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (213122301161131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3342486291 + ... + 3342550051.

It is an arithmetic number, because the mean of its divisors is an integer number (7353615349440).

Almost surely, 2213122301101131 is an apocalyptic number.

213122301101131 is a deficient number, since it is larger than the sum of its proper divisors (22193390080949).

213122301101131 is a wasteful number, since it uses less digits than its factorization.

213122301101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103627.

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 213122301101131 its reverse (131101103221312), we get a palindrome (344223404322443).

The spelling of 213122301101131 in words is "two hundred thirteen trillion, one hundred twenty-two billion, three hundred one million, one hundred one thousand, one hundred thirty-one".

Divisors: 1 19 23 193 437 3667 4439 39631 63761 84341 752989 911513 1211459 1466503 7648783 12305873 17318747 27863557 145326877 175922009 233811587 283035079 2526912191 3342518171 5377666501 48011331629 58118980393 487694052863 1104260627467 9266187004397 11216963215849 213122301101131