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1331220320101 = 717293112443521
BaseRepresentation
bin10011010111110010111…
…010100000111101100101
311201021010000220001002001
4103113302322200331211
5133302314400220401
62455315411245301
7165114611006650
oct23276272407545
94637100801061
101331220320101
11473627190831
12195bbaba9831
13986c2249a29
1448607ad2897
1524964c50601
hex135f2ea0f65

1331220320101 has 32 divisors (see below), whose sum is σ = 1720192481280. Its totient is φ = 1003445452800.

The previous prime is 1331220320093. The next prime is 1331220320113. The reversal of 1331220320101 is 1010230221331.

It is not a de Polignac number, because 1331220320101 - 23 = 1331220320093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1331220320161) 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 31 ways as a sum of consecutive naturals, for example, 6114780 + ... + 6328741.

It is an arithmetic number, because the mean of its divisors is an integer number (53756015040).

Almost surely, 21331220320101 is an apocalyptic number.

It is an amenable number.

1331220320101 is a deficient number, since it is larger than the sum of its proper divisors (388972161179).

1331220320101 is a wasteful number, since it uses less digits than its factorization.

1331220320101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12443605.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1331220320101 its reverse (1010230221331), we get a palindrome (2341450541432).

The spelling of 1331220320101 in words is "one trillion, three hundred thirty-one billion, two hundred twenty million, three hundred twenty thousand, one hundred one".

Divisors: 1 7 17 29 31 119 203 217 493 527 899 3451 3689 6293 15283 106981 12443521 87104647 211539857 360862109 385749151 1480778999 2526034763 2700244057 6134655853 6557735567 11186725379 42942590971 45904148969 78307077653 190174331443 1331220320101