Search a number
-
+
1321031300121 = 321359514737181
BaseRepresentation
bin10011001110010011100…
…110011111010000011001
311200021210221110012021200
4103032103212133100121
5133120433003100441
62450512353224413
7164304246531231
oct23162346372031
94607727405250
101321031300121
1146a278803265
12194036862109
139775a34ac20
1447d1c808cc1
152456a4a67b6
hex1339399f419

1321031300121 has 48 divisors (see below), whose sum is σ = 2090229261120. Its totient is φ = 798986897280.

The previous prime is 1321031300111. The next prime is 1321031300131. The reversal of 1321031300121 is 1210031301231.

1321031300121 is a `hidden beast` number, since 1 + 3 + 210 + 31 + 300 + 121 = 666.

It is an interprime number because it is at equal distance from previous prime (1321031300111) and next prime (1321031300131).

It is not a de Polignac number, because 1321031300121 - 238 = 1046153393177 is a prime.

It is a super-2 number, since 2×13210313001212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1321031300094 and 1321031300103.

It is not an unprimeable number, because it can be changed into a prime (1321031300111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35511151 + ... + 35548331.

It is an arithmetic number, because the mean of its divisors is an integer number (43546442940).

Almost surely, 21321031300121 is an apocalyptic number.

It is an amenable number.

1321031300121 is a deficient number, since it is larger than the sum of its proper divisors (769197960999).

1321031300121 is a wasteful number, since it uses less digits than its factorization.

1321031300121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42406 (or 42403 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1321031300121 its reverse (1210031301231), we get a palindrome (2531062601352).

The spelling of 1321031300121 in words is "one trillion, three hundred twenty-one billion, thirty-one million, three hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 59 117 177 531 767 2301 5147 6903 15441 37181 46323 66911 111543 200733 303673 334629 483353 602199 911019 1450059 2193679 2733057 3947749 4350177 6581037 11843247 19743111 28517827 35529741 85553481 191370607 256660443 574111821 1722335463 2487817891 7463453673 11290865813 22390361019 33872597439 101617792317 146781255569 440343766707 1321031300121