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1001012221111 = 741273978269
BaseRepresentation
bin11101001000100001111…
…10100101010010110111
310112200210021002120210211
432210100332211102313
5112400033112033421
62043505245530251
7132215005330000
oct16442076452267
93480707076724
101001012221111
11356588336671
12142004b73987
1373519bc4546
1436640a561a7
151b08a55d9e1
hexe910fa54b7

1001012221111 has 40 divisors (see below), whose sum is σ = 1180080570880. Its totient is φ = 849007583424.

The previous prime is 1001012221073. The next prime is 1001012221123. The reversal of 1001012221111 is 1111222101001.

It is a happy number.

It is not a de Polignac number, because 1001012221111 - 213 = 1001012212919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001012221091 and 1001012221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012221211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121051885 + ... + 121060153.

It is an arithmetic number, because the mean of its divisors is an integer number (29502014272).

Almost surely, 21001012221111 is an apocalyptic number.

1001012221111 is a deficient number, since it is larger than the sum of its proper divisors (179068349769).

1001012221111 is an frugal number, since it uses more digits than its factorization.

1001012221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1001012221111 its reverse (1111222101001), we get a palindrome (2112234322112).

The spelling of 1001012221111 in words is "one trillion, one billion, twelve million, two hundred twenty-one thousand, one hundred eleven".

Divisors: 1 7 49 127 343 397 889 2401 2779 6223 8269 19453 43561 50419 57883 136171 304927 352933 405181 953197 1050163 2470531 2836267 3282793 7351141 17293717 19853869 22979551 51457987 121056019 160856857 360205909 416914711 1125997999 2521441363 2918402977 7881985993 20428820839 143001745873 1001012221111