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211211210001 = 31123741137549
BaseRepresentation
bin1100010010110100101…
…0110100110100010001
3202012011200011011101110
43010231022310310101
511430030032210001
6241010141123533
721155003443311
oct3045512646421
9665150134343
10211211210001
1181635249210
1234b262595a9
1316bbcc2734c
14a319051441
1557628343d6
hex312d2b4d11

211211210001 has 32 divisors (see below), whose sum is σ = 320625331200. Its totient is φ = 122421499200.

The previous prime is 211211209969. The next prime is 211211210029. The reversal of 211211210001 is 100012112112.

It is not a de Polignac number, because 211211210001 - 25 = 211211209969 is a prime.

It is a super-2 number, since 2×2112112100012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211210081) 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 31 ways as a sum of consecutive naturals, for example, 5606175 + ... + 5643723.

It is an arithmetic number, because the mean of its divisors is an integer number (10019541600).

Almost surely, 2211211210001 is an apocalyptic number.

It is an amenable number.

211211210001 is a deficient number, since it is larger than the sum of its proper divisors (109414121199).

211211210001 is a wasteful number, since it uses less digits than its factorization.

211211210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44997.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 211211210001 its reverse (100012112112), we get a palindrome (311223322113).

It can be divided in two parts, 2112112 and 10001, that multiplied together give a palindrome (21123232112).

The spelling of 211211210001 in words is "two hundred eleven billion, two hundred eleven million, two hundred ten thousand, one".

Divisors: 1 3 11 23 33 69 253 759 7411 22233 37549 81521 112647 170453 244563 413039 511359 863627 1239117 1874983 2590881 5624949 9499897 28499691 278275639 834826917 3061032029 6400339697 9183096087 19201019091 70403736667 211211210001