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3212131221 = 35132833593
BaseRepresentation
bin1011111101110101…
…0011101110010101
322021212012011200000
42333131103232111
523034301144341
61250423041513
7142412444025
oct27735235625
98255164600
103212131221
1113a9189802
127578a0299
133c2628480
14226865a85
1513bee78b6
hexbf753b95

3212131221 has 48 divisors (see below), whose sum is σ = 5201466816. Its totient is φ = 1969163136.

The previous prime is 3212131201. The next prime is 3212131259. The reversal of 3212131221 is 1221312123.

It is not a de Polignac number, because 3212131221 - 25 = 3212131189 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 3212131194 and 3212131203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212131201) 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, 892201 + ... + 895793.

It is an arithmetic number, because the mean of its divisors is an integer number (108363892).

Almost surely, 23212131221 is an apocalyptic number.

It is an amenable number.

3212131221 is a deficient number, since it is larger than the sum of its proper divisors (1989335595).

3212131221 is a wasteful number, since it uses less digits than its factorization.

3212131221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3892 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 3212131221 is about 56675.6669215281. Note that the first 3 decimals coincide. The cubic root of 3212131221 is about 1475.4724095932.

Adding to 3212131221 its reverse (1221312123), we get a palindrome (4433443344).

The spelling of 3212131221 in words is "three billion, two hundred twelve million, one hundred thirty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 27 39 81 117 243 283 351 849 1053 2547 3159 3593 3679 7641 10779 11037 22923 32337 33111 46709 68769 97011 99333 140127 291033 297999 420381 873099 893997 1016819 1261143 3050457 3783429 9151371 11350287 13218647 27454113 39655941 82362339 118967823 247087017 356903469 1070710407 3212131221