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212021131331 = 7916337794357
BaseRepresentation
bin1100010101110101110…
…0011011100001000011
3202021021010011102120202
43011131130123201003
511433204402200311
6241222352355415
721214036611062
oct3053534334103
9667233142522
10212021131331
1181a10446089
1235111545b6b
1316cbb972039
14a3948401d9
1557ad9bae3b
hex315d71b843

212021131331 has 16 divisors (see below), whose sum is σ = 216128908800. Its totient is φ = 207950247648.

The previous prime is 212021131327. The next prime is 212021131373. The reversal of 212021131331 is 133131120212.

It is a happy number.

212021131331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 212021131331 - 22 = 212021131327 is a prime.

It is a super-3 number, since 3×2120211313313 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212021131381) 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 15 ways as a sum of consecutive naturals, for example, 48660005 + ... + 48664361.

It is an arithmetic number, because the mean of its divisors is an integer number (13508056800).

Almost surely, 2212021131331 is an apocalyptic number.

212021131331 is a deficient number, since it is larger than the sum of its proper divisors (4107777469).

212021131331 is a wasteful number, since it uses less digits than its factorization.

212021131331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8378.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 212021131331 its reverse (133131120212), we get a palindrome (345152251543).

The spelling of 212021131331 in words is "two hundred twelve billion, twenty-one million, one hundred thirty-one thousand, three hundred thirty-one".

Divisors: 1 79 163 3779 4357 12877 298541 344203 615977 710191 16465103 48662183 56105089 1300743137 2683811789 212021131331