Search a number
-
+
1321000107 = 37493112757
BaseRepresentation
bin100111010111100…
…1101110010101011
310102001200202110220
41032233031302223
510201134000412
6335025341123
744510213160
oct11657156253
93361622426
101321000107
11618740a29
1230a4977a3
131808ab68b
14c762a067
157ae8c68c
hex4ebcdcab

1321000107 has 16 divisors (see below), whose sum is σ = 2013518592. Its totient is φ = 754644960.

The previous prime is 1321000081. The next prime is 1321000127. The reversal of 1321000107 is 7010001231.

It is not a de Polignac number, because 1321000107 - 228 = 1052564651 is a prime.

It is a super-2 number, since 2×13210001072 = 3490082565388022898, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1321000127) 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, 97173 + ... + 109929.

It is an arithmetic number, because the mean of its divisors is an integer number (125844912).

Almost surely, 21321000107 is an apocalyptic number.

1321000107 is a deficient number, since it is larger than the sum of its proper divisors (692518485).

1321000107 is a wasteful number, since it uses less digits than its factorization.

1321000107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17698.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1321000107 is about 36345.5651627540. The cubic root of 1321000107 is about 1097.2382806209.

Adding to 1321000107 its reverse (7010001231), we get a palindrome (8331001338).

The spelling of 1321000107 in words is "one billion, three hundred twenty-one million, one hundred seven", and thus it is an aban number.

Divisors: 1 3 7 21 4931 12757 14793 34517 38271 89299 103551 267897 62904767 188714301 440333369 1321000107