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212132321003031 = 311213101445077349
BaseRepresentation
bin110000001110111011100111…
…101000111000011000010111
31000211002122121012000120120220
4300032323213220320120113
5210301033443134044111
62031100124245525423
762453024445313212
oct6016734750703027
91024078535016526
10212132321003031
11616568a2a23200
121b9607b9113873
139149cb8670260
143a5538b046779
15197d0ad992e06
hexc0eee7a38617

212132321003031 has 48 divisors (see below), whose sum is σ = 338123482485600. Its totient is φ = 117500419872000.

The previous prime is 212132321003011. The next prime is 212132321003039. The reversal of 212132321003031 is 130300123231212.

It is not a de Polignac number, because 212132321003031 - 29 = 212132321002519 is a prime.

It is a super-2 number, since 2×2121323210030312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212132321002992 and 212132321003010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212132321003039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 222062056 + ... + 223015293.

It is an arithmetic number, because the mean of its divisors is an integer number (7044239218450).

Almost surely, 2212132321003031 is an apocalyptic number.

212132321003031 is a deficient number, since it is larger than the sum of its proper divisors (125991161482569).

212132321003031 is a wasteful number, since it uses less digits than its factorization.

212132321003031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445077488 (or 445077477 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 212132321003031 its reverse (130300123231212), we get a palindrome (342432444234243).

The spelling of 212132321003031 in words is "two hundred twelve trillion, one hundred thirty-two billion, three hundred twenty-one million, three thousand, thirty-one".

Divisors: 1 3 11 13 33 39 101 121 143 303 363 429 1111 1313 1573 3333 3939 4719 12221 14443 36663 43329 158873 476619 445077349 1335232047 4895850839 5786005537 14687552517 17358016611 44952812249 53854359229 63646060907 134858436747 161563077687 190938182721 494480934739 584386559237 700106669977 1483442804217 1753159677711 2100320009931 5439290282129 6428252151607 16317870846387 19284756454821 70710773667677 212132321003031