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1000122121011 = 313194332539649
BaseRepresentation
bin11101000110110111110…
…11000111101100110011
310112121111020012211000110
432203123323013230303
5112341222230333021
62043241051552403
7132153646522656
oct16433373075463
93477436184013
101000122121011
11356170956252
121419b6a5b703
1373407685cb0
143659875589d
151b03733a476
hexe8dbec7b33

1000122121011 has 64 divisors (see below), whose sum is σ = 1547446208000. Its totient is φ = 569273370624.

The previous prime is 1000122121003. The next prime is 1000122121013. The reversal of 1000122121011 is 1101212210001.

It is not a de Polignac number, because 1000122121011 - 23 = 1000122121003 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000122121013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 103645515 + ... + 103655163.

It is an arithmetic number, because the mean of its divisors is an integer number (24178847000).

Almost surely, 21000122121011 is an apocalyptic number.

1000122121011 is a deficient number, since it is larger than the sum of its proper divisors (547324086989).

1000122121011 is a wasteful number, since it uses less digits than its factorization.

1000122121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12980.

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

Adding to 1000122121011 its reverse (1101212210001), we get a palindrome (2101334331012).

The spelling of 1000122121011 in words is "one trillion, one hundred twenty-two million, one hundred twenty-one thousand, eleven".

Divisors: 1 3 13 19 39 43 57 129 247 559 741 817 1677 2451 3253 9649 9759 10621 28947 31863 42289 61807 125437 126867 139879 183331 185421 376311 414907 419637 549993 803491 1244721 1818427 2383303 2410473 2657701 5393791 5455281 7149909 7883233 7973103 16181373 23649699 31388197 34550113 94164591 102482029 103650339 307446087 408046561 596375743 1224139683 1349692471 1789127229 4049077413 7752884659 17546002123 23258653977 25644156949 52638006369 76932470847 333374040337 1000122121011