Search a number
-
+
1331022300321 = 37186134058041
BaseRepresentation
bin10011010111100111000…
…111001000010010100001
311201020121020021121000010
4103113213013020102201
5133301413202102241
62455244015115133
7165106654610550
oct23274707102241
94636536247003
101331022300321
1147353543061a
12195b64812aa9
1398690206b6c
14485c96a7d97
1524952687d16
hex135e71c84a1

1331022300321 has 16 divisors (see below), whose sum is σ = 2029314374528. Its totient is φ = 760175452800.

The previous prime is 1331022300281. The next prime is 1331022300323. The reversal of 1331022300321 is 1230032201331.

It is not a de Polignac number, because 1331022300321 - 210 = 1331022299297 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1331022300323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16989940 + ... + 17068101.

It is an arithmetic number, because the mean of its divisors is an integer number (126832148408).

Almost surely, 21331022300321 is an apocalyptic number.

It is an amenable number.

1331022300321 is a deficient number, since it is larger than the sum of its proper divisors (698292074207).

1331022300321 is a wasteful number, since it uses less digits than its factorization.

1331022300321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34059912.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1331022300321 its reverse (1230032201331), we get a palindrome (2561054501652).

The spelling of 1331022300321 in words is "one trillion, three hundred thirty-one billion, twenty-two million, three hundred thousand, three hundred twenty-one".

Divisors: 1 3 7 21 1861 5583 13027 39081 34058041 102174123 238406287 715218861 63382014301 190146042903 443674100107 1331022300321