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104320260085441 = 8921147612
BaseRepresentation
bin10111101110000011110100…
…000010111001011011000001
3111200100220211021212020100211
4113232003310002321123001
5102133140343040213231
61005512022121514121
730654614203023361
oct2756036402713301
9450326737766324
10104320260085441
113026aa79216104
12b849b70042941
1346294872abcca
141ba91add1c9a1
15c0d92192beb1
hex5ee0f40b96c1

104320260085441 has 9 divisors (see below), whose sum is σ = 105506487284713. Its totient is φ = 103147223523520.

The previous prime is 104320260085439. The next prime is 104320260085469. The reversal of 104320260085441 is 144580062023401.

It is a happy number.

The square root of 104320260085441 is 10213729.

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 81112917325441 + 23207342760000 = 9006271^2 + 4817400^2 .

It is not a de Polignac number, because 104320260085441 - 21 = 104320260085439 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 104320260085394 and 104320260085403.

It is not an unprimeable number, because it can be changed into a prime (104320260085411) 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 8 ways as a sum of consecutive naturals, for example, 908964501 + ... + 909079261.

Almost surely, 2104320260085441 is an apocalyptic number.

104320260085441 is the 10213729-th square number.

104320260085441 is the 5106865-th centered octagonal number.

It is an amenable number.

104320260085441 is a deficient number, since it is larger than the sum of its proper divisors (1186227199272).

104320260085441 is an frugal number, since it uses more digits than its factorization.

104320260085441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229700 (or 114850 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 104320260085441 in words is "one hundred four trillion, three hundred twenty billion, two hundred sixty million, eighty-five thousand, four hundred forty-one".

Divisors: 1 89 7921 114761 10213729 909021881 13170087121 1172137753769 104320260085441