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113440103001 = 32106373118493
BaseRepresentation
bin110100110100110001…
…1101001101001011001
3101211210211120022112100
41221221203221221121
53324311131244001
6124040315034013
711124102652161
oct1515143515131
9354724508470
10113440103001
1144122a87445
1219b9aa3b909
13a90b124404
1456c202d5a1
152e3e122586
hex1a698e9a59

113440103001 has 12 divisors (see below), whose sum is σ = 163860849828. Its totient is φ = 75625386144.

The previous prime is 113440102957. The next prime is 113440103083. The reversal of 113440103001 is 100301044311.

113440103001 is a `hidden beast` number, since 11 + 344 + 0 + 10 + 300 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3929409225 + 109510693776 = 62685^2 + 330924^2 .

It is not a de Polignac number, because 113440103001 - 27 = 113440102873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113440103401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 898111 + ... + 1016603.

It is an arithmetic number, because the mean of its divisors is an integer number (13655070819).

Almost surely, 2113440103001 is an apocalyptic number.

It is an amenable number.

113440103001 is a deficient number, since it is larger than the sum of its proper divisors (50420746827).

113440103001 is a wasteful number, since it uses less digits than its factorization.

113440103001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224872 (or 224869 counting only the distinct ones).

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

Adding to 113440103001 its reverse (100301044311), we get a palindrome (213741147312).

The spelling of 113440103001 in words is "one hundred thirteen billion, four hundred forty million, one hundred three thousand, one".

Divisors: 1 3 9 106373 118493 319119 355479 957357 1066437 12604455889 37813367667 113440103001