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1320310210041 = 321753162820349
BaseRepresentation
bin10011001101101000100…
…111101111110111111001
311200012221200121000122200
4103031220213233313321
5133112443403210131
62450313033540413
7164250342420624
oct23155047576771
94605850530580
101320310210041
11469a38769649
12193a75274709
1397673b361c4
1447c90b40dbb
152452701a2e6
hex133689efdf9

1320310210041 has 24 divisors (see below), whose sum is σ = 2057397942600. Its totient is φ = 812799177216.

The previous prime is 1320310210013. The next prime is 1320310210067. The reversal of 1320310210041 is 1400120130231.

It can be written as a sum of positive squares in 4 ways, for example, as 582162896016 + 738147314025 = 762996^2 + 859155^2 .

It is not a de Polignac number, because 1320310210041 - 213 = 1320310201849 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1320310209996 and 1320310210023.

It is not an unprimeable number, because it can be changed into a prime (1320310210081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81402066 + ... + 81418283.

It is an arithmetic number, because the mean of its divisors is an integer number (85724914275).

Almost surely, 21320310210041 is an apocalyptic number.

It is an amenable number.

1320310210041 is a deficient number, since it is larger than the sum of its proper divisors (737087732559).

1320310210041 is a wasteful number, since it uses less digits than its factorization.

1320310210041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162820425 (or 162820422 counting only the distinct ones).

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

Adding to 1320310210041 its reverse (1400120130231), we get a palindrome (2720430340272).

It can be divided in two parts, 1320310 and 210041, that added together give a palindrome (1530351).

The spelling of 1320310210041 in words is "one trillion, three hundred twenty billion, three hundred ten million, two hundred ten thousand, forty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 162820349 488461047 1465383141 2767945933 8303837799 8629478497 24911513397 25888435491 77665306473 146701134449 440103403347 1320310210041