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1013440310001 = 327103431555289
BaseRepresentation
bin11101011111101011011…
…11111110101011110001
310120212212101201220201100
432233311233332223301
5113101011204410001
62053322410555013
7133134665334210
oct16576557765361
93525771656640
101013440310001
113608856a8809
121444b3138a69
137474a9537b2
143709d46b077
151b566690586
hexebf5bfeaf1

1013440310001 has 24 divisors (see below), whose sum is σ = 1673143655040. Its totient is φ = 579052385856.

The previous prime is 1013440309997. The next prime is 1013440310017. The reversal of 1013440310001 is 1000130443101.

1013440310001 is a `hidden beast` number, since 10 + 1 + 344 + 0 + 310 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 1013440310001 - 22 = 1013440309997 is a prime.

It is a super-2 number, since 2×10134403100012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1013440310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126036 + ... + 1429253.

It is an arithmetic number, because the mean of its divisors is an integer number (69714318960).

Almost surely, 21013440310001 is an apocalyptic number.

It is an amenable number.

1013440310001 is a deficient number, since it is larger than the sum of its proper divisors (659703345039).

1013440310001 is a wasteful number, since it uses less digits than its factorization.

1013440310001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1565645 (or 1565642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013440310001 its reverse (1000130443101), we get a palindrome (2013570753102).

The spelling of 1013440310001 in words is "one trillion, thirteen billion, four hundred forty million, three hundred ten thousand, one".

Divisors: 1 3 7 9 21 63 10343 31029 72401 93087 217203 651609 1555289 4665867 10887023 13997601 32661069 97983207 16086354127 48259062381 112604478889 144777187143 337813436667 1013440310001