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1012022102011 = 172323714992029
BaseRepresentation
bin11101011101000010011…
…01111100011111111011
310120202012120010111002111
432232201031330133323
5113040110124231021
62052525545513151
7133054564635064
oct16564115743773
93522176114074
101012022102011
11360218103098
121441781a27b7
1374582b9b47b
1436da6d7956b
151b4d1e008e1
hexeba137c7fb

1012022102011 has 48 divisors (see below), whose sum is σ = 1151777340000. Its totient is φ = 885427006464.

The previous prime is 1012022102009. The next prime is 1012022102101. The reversal of 1012022102011 is 1102012202101.

It is not a de Polignac number, because 1012022102011 - 21 = 1012022102009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012022101982 and 1012022102000.

It is not an unprimeable number, because it can be changed into a prime (1012022102411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 498777745 + ... + 498779773.

It is an arithmetic number, because the mean of its divisors is an integer number (23995361250).

Almost surely, 21012022102011 is an apocalyptic number.

1012022102011 is a deficient number, since it is larger than the sum of its proper divisors (139755237989).

1012022102011 is a wasteful number, since it uses less digits than its factorization.

1012022102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3628 (or 3605 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1012022102011 its reverse (1102012202101), we get a palindrome (2114034304112).

The spelling of 1012022102011 in words is "one trillion, twelve billion, twenty-two million, one hundred two thousand, eleven".

Divisors: 1 17 23 37 391 529 629 851 1499 2029 8993 14467 19573 25483 34477 34493 46667 55463 75073 332741 586109 792971 793339 942871 1073341 1275649 1276241 1726679 3041471 13480507 18246797 21686033 29339927 29353543 39713617 51705007 69953833 112534427 498778759 675131489 1189215161 1608938159 1913085259 2588291821 27351948703 44000960957 59530711883 1012022102011