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212132320320231 = 33172177272122667
BaseRepresentation
bin110000001110111011100111…
…100110010001101011100111
31000211002122121010201212222000
4300032323213212101223213
5210301033443000221411
62031100124223140343
762453024436440433
oct6016734746215347
91024078533655860
10212132320320231
11616568a25a7203
121b9607b8a446b3
139149cb849152c
143a5538ad099c3
15197d0ad8aa956
hexc0eee7991ae7

212132320320231 has 32 divisors (see below), whose sum is σ = 332758265978880. Its totient is φ = 133101958324608.

The previous prime is 212132320320229. The next prime is 212132320320233. The reversal of 212132320320231 is 132023023231212.

212132320320231 is a `hidden beast` number, since 2 + 1 + 2 + 13 + 2 + 320 + 320 + 2 + 3 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (212132320320229) and next prime (212132320320233).

It is not a de Polignac number, because 212132320320231 - 21 = 212132320320229 is a prime.

It is a super-2 number, since 2×2121323203202312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 212132320320195 and 212132320320204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132320320233) 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, 98875360 + ... + 100998026.

It is an arithmetic number, because the mean of its divisors is an integer number (10398695811840).

Almost surely, 2212132320320231 is an apocalyptic number.

212132320320231 is a deficient number, since it is larger than the sum of its proper divisors (120625945658649).

212132320320231 is a wasteful number, since it uses less digits than its factorization.

212132320320231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340420 (or 2340414 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 212132320320231 its reverse (132023023231212), we get a palindrome (344155343551443).

The spelling of 212132320320231 in words is "two hundred twelve trillion, one hundred thirty-two billion, three hundred twenty million, three hundred twenty thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 217727 653181 1959543 2122667 3701359 5878629 6368001 11104077 19104003 33312231 36085339 57312009 99936693 108256017 324768051 974304153 462161917909 1386485753727 4159457261181 7856752604453 12478371783543 23570257813359 70710773440077 212132320320231