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1321240031145 = 325181491617769
BaseRepresentation
bin10011001110100000000…
…010101110111110101001
311200022100111012211102100
4103032200002232332221
5133121344421444040
62450545211124013
7164312362651416
oct23164002567651
94608314184370
101321240031145
1146a375609a41
12194094743609
13977916712c8
1447d3c42110d
152457d987b30
hex133a00aefa9

1321240031145 has 24 divisors (see below), whose sum is σ = 2290276989000. Its totient is φ = 704622087936.

The previous prime is 1321240031107. The next prime is 1321240031191. The reversal of 1321240031145 is 5411300421231.

1321240031145 is a `hidden beast` number, since 1 + 3 + 212 + 400 + 3 + 1 + 1 + 45 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13611188889 + 1307628842256 = 116667^2 + 1143516^2 .

It is not a de Polignac number, because 1321240031145 - 29 = 1321240030633 is a prime.

It is a super-2 number, since 2×13212400311452 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7821 + ... + 1625589.

It is an arithmetic number, because the mean of its divisors is an integer number (95428207875).

Almost surely, 21321240031145 is an apocalyptic number.

1321240031145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1321240031145 is a deficient number, since it is larger than the sum of its proper divisors (969036957855).

1321240031145 is a wasteful number, since it uses less digits than its factorization.

1321240031145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1635929 (or 1635926 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1321240031145 its reverse (5411300421231), we get a palindrome (6732540452376).

The spelling of 1321240031145 in words is "one trillion, three hundred twenty-one billion, two hundred forty million, thirty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 18149 54447 90745 163341 272235 816705 1617769 4853307 8088845 14559921 24266535 72799605 29360889581 88082668743 146804447905 264248006229 440413343715 1321240031145