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1005210035011 = 71324114581611
BaseRepresentation
bin11101010000010110010…
…11111110001101000011
310120002121211000121220201
432220023023332031003
5112432132232110021
62045442003350031
7132424020214330
oct16501313761503
93502554017821
101005210035011
1135834194a356
12142996982317
1373a387b61b0
143691c37d987
151b233d5a591
hexea0b2fe343

1005210035011 has 16 divisors (see below), whose sum is σ = 1237694992128. Its totient is φ = 795000967200.

The previous prime is 1005210035009. The next prime is 1005210035033. The reversal of 1005210035011 is 1105300125001.

It is a cyclic number.

It is not a de Polignac number, because 1005210035011 - 21 = 1005210035009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1005210035011.

It is not an unprimeable number, because it can be changed into a prime (1005210035111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2071405 + ... + 2510206.

It is an arithmetic number, because the mean of its divisors is an integer number (77355937008).

Almost surely, 21005210035011 is an apocalyptic number.

1005210035011 is a deficient number, since it is larger than the sum of its proper divisors (232484957117).

1005210035011 is a wasteful number, since it uses less digits than its factorization.

1005210035011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4584042.

The product of its (nonzero) digits is 150, while the sum is 19.

The spelling of 1005210035011 in words is "one trillion, five billion, two hundred ten million, thirty-five thousand, eleven".

Divisors: 1 7 13 91 2411 16877 31343 219401 4581611 32071277 59560943 416926601 11046264121 77323848847 143601433573 1005210035011