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103883091481 = 132247932
BaseRepresentation
bin110000010111111101…
…0100010111000011001
3100221010210100211100201
41200233322202320121
53200223032411411
6115420115102201
710335214464631
oct1405772427031
9327123324321
10103883091481
114006932a214
12181722a1961
139a4714a400
145056a616c1
152a800ba3c1
hex182fea2e19

103883091481 has 9 divisors (see below), whose sum is σ = 112493328669. Its totient is φ = 95888216736.

The previous prime is 103883091469. The next prime is 103883091497. The reversal of 103883091481 is 184190388301.

It is a happy number.

The square root of 103883091481 is 322309.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 5976681481 + 97906410000 = 77309^2 + 312900^2 .

It is not a de Polignac number, because 103883091481 - 219 = 103882567193 is a prime.

It is a super-2 number, since 2×1038830914812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103883091401) 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 8 ways as a sum of consecutive naturals, for example, 4177621 + ... + 4202413.

It is an arithmetic number, because the mean of its divisors is an integer number (12499258741).

Almost surely, 2103883091481 is an apocalyptic number.

103883091481 is the 322309-th square number.

103883091481 is the 161155-th centered octagonal number.

It is an amenable number.

103883091481 is a deficient number, since it is larger than the sum of its proper divisors (8610237188).

103883091481 is an frugal number, since it uses more digits than its factorization.

103883091481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49612 (or 24806 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 46.

It can be divided in two parts, 1038830 and 91481, that added together give a palindrome (1130311).

The spelling of 103883091481 in words is "one hundred three billion, eight hundred eighty-three million, ninety-one thousand, four hundred eighty-one".

Divisors: 1 13 169 24793 322309 4190017 614692849 7991007037 103883091481