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1016354036401 = 111713093415111
BaseRepresentation
bin11101100101000110110…
…10111101101010110001
310121011101110102112220221
432302203122331222301
5113122443113131101
62054523454133041
7133300125524314
oct16624332755261
93534343375827
101016354036401
113620403a2560
12144b86ab1181
1374ac34bc262
143729841697b
151b687391aa1
hexeca36bdab1

1016354036401 has 16 divisors (see below), whose sum is σ = 1174062930048. Its totient is φ = 869539219200.

The previous prime is 1016354036389. The next prime is 1016354036443. The reversal of 1016354036401 is 1046304536101.

It is a cyclic number.

It is not a de Polignac number, because 1016354036401 - 227 = 1016219818673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1016354036491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2240836 + ... + 2655946.

It is an arithmetic number, because the mean of its divisors is an integer number (73378933128).

Almost surely, 21016354036401 is an apocalyptic number.

1016354036401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1016354036401 is a deficient number, since it is larger than the sum of its proper divisors (157708893647).

1016354036401 is a wasteful number, since it uses less digits than its factorization.

1016354036401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428232.

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 1016354036401 in words is "one trillion, sixteen billion, three hundred fifty-four million, thirty-six thousand, four hundred one".

Divisors: 1 11 17 187 13093 144023 222581 415111 2448391 4566221 7056887 77625757 5435048323 59785531553 92395821491 1016354036401