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212321132001 = 3211173733110301
BaseRepresentation
bin1100010110111101010…
…0110101110111100001
3202022001000200001010200
43011233110311313201
511434313202211001
6241312230415413
721224341562436
oct3055724656741
9668030601120
10212321132001
1182054820020
1235195b01569
1317038b70224
14a3c2613b8d
1557c9eca086
hex316f535de1

212321132001 has 96 divisors (see below), whose sum is σ = 364955849856. Its totient is φ = 117469440000.

The previous prime is 212321131993. The next prime is 212321132011. The reversal of 212321132001 is 100231123212.

212321132001 is a `hidden beast` number, since 21 + 2 + 321 + 1 + 320 + 0 + 1 = 666.

It is not a de Polignac number, because 212321132001 - 23 = 212321131993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212321132011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20606551 + ... + 20616851.

It is an arithmetic number, because the mean of its divisors is an integer number (3801623436).

Almost surely, 2212321132001 is an apocalyptic number.

It is an amenable number.

212321132001 is a deficient number, since it is larger than the sum of its proper divisors (152634717855).

212321132001 is a wasteful number, since it uses less digits than its factorization.

212321132001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10703 (or 10700 counting only the distinct ones).

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

Adding to 212321132001 its reverse (100231123212), we get a palindrome (312552255213).

The spelling of 212321132001 in words is "two hundred twelve billion, three hundred twenty-one million, one hundred thirty-two thousand, one".

Divisors: 1 3 9 11 17 33 37 51 99 111 153 187 331 333 407 561 629 993 1221 1683 1887 2979 3641 3663 5627 5661 6919 10301 10923 12247 16881 20757 30903 32769 36741 50643 61897 62271 92709 110223 113311 134717 175117 185691 208199 339933 381137 404151 525351 557073 624597 1019799 1143411 1212453 1576053 1873791 1926287 2290189 3409631 3430233 4192507 5778861 6479329 6870567 10228893 12577521 17336583 19437987 20611701 30686679 37505941 37732563 57963727 58313961 71272619 112517823 126156347 173891181 213817857 337553469 378469041 521673543 637600997 641453571 1135407123 1387719817 1912802991 2144657899 4163159451 5738408973 6433973697 12489478353 19301921091 23591236889 70773710667 212321132001