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1013403706801 = 17375213092389
BaseRepresentation
bin11101011111100111001…
…00010110010110110001
310120212202211212021120021
432233303210112112301
5113100422322104201
62053315022243441
7133134042244303
oct16576344262661
93525684767507
101013403706801
11360866a78232
121444a2a26581
13747431a90b5
143709865d973
151b56335eea1
hexebf39165b1

1013403706801 has 16 divisors (see below), whose sum is σ = 1104131664720. Its totient is φ = 926232053760.

The previous prime is 1013403706771. The next prime is 1013403706849. The reversal of 1013403706801 is 1086073043101.

It can be written as a sum of positive squares in 8 ways, for example, as 22074827776 + 991328879025 = 148576^2 + 995655^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013403706801 - 25 = 1013403706769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1013403706871) 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, 1218486 + ... + 1873903.

It is an arithmetic number, because the mean of its divisors is an integer number (69008229045).

Almost surely, 21013403706801 is an apocalyptic number.

It is an amenable number.

1013403706801 is a deficient number, since it is larger than the sum of its proper divisors (90727957919).

1013403706801 is a wasteful number, since it uses less digits than its factorization.

1013403706801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3092964.

The product of its (nonzero) digits is 12096, while the sum is 34.

Adding to 1013403706801 its reverse (1086073043101), we get a palindrome (2099476749902).

The spelling of 1013403706801 in words is "one trillion, thirteen billion, four hundred three million, seven hundred six thousand, eight hundred one".

Divisors: 1 17 37 521 629 8857 19277 327709 3092389 52570613 114418393 1611134669 1945112681 27389289373 59611982753 1013403706801