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211213102321 = 1341675914511
BaseRepresentation
bin1100010010110101001…
…0000010110011110001
3202012011210201022011101
43010231102002303301
511430031023233241
6241010245444401
721155025514264
oct3045522026361
9665153638141
10211213102321
1181636320a11
1234b26a10701
1316bc043a770
14a3193c4cdb
155762aa9e31
hex312d482cf1

211213102321 has 16 divisors (see below), whose sum is σ = 236485847808. Its totient is φ = 187371676800.

The previous prime is 211213102319. The next prime is 211213102339. The reversal of 211213102321 is 123201312112.

It is a cyclic number.

It is not a de Polignac number, because 211213102321 - 21 = 211213102319 is a prime.

It is a super-2 number, since 2×2112131023212 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (211213102301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2921545 + ... + 2992966.

It is an arithmetic number, because the mean of its divisors is an integer number (14780365488).

Almost surely, 2211213102321 is an apocalyptic number.

It is an amenable number.

211213102321 is a deficient number, since it is larger than the sum of its proper divisors (25272745487).

211213102321 is a wasteful number, since it uses less digits than its factorization.

211213102321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5914632.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 211213102321 its reverse (123201312112), we get a palindrome (334414414433).

The spelling of 211213102321 in words is "two hundred eleven billion, two hundred thirteen million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 13 41 67 533 871 2747 35711 5914511 76888643 242494951 396272237 3152434363 5151539081 16247161717 211213102321