Search a number
-
+
103120631001 = 3211457847889
BaseRepresentation
bin110000000001001110…
…1111111010011011001
3100212011122122211012200
41200002131333103121
53142142340143001
6115212321000413
710310265621033
oct1400235772331
9325148584180
10103120631001
113a8079a9393
1217b9aa83109
1399551ac16b
144dc36a8c53
152a381ab086
hex180277f4d9

103120631001 has 6 divisors (see below), whose sum is σ = 148952022570. Its totient is φ = 68747087328.

The previous prime is 103120630993. The next prime is 103120631059. The reversal of 103120631001 is 100136021301.

103120631001 is a `hidden beast` number, since 1 + 0 + 31 + 2 + 0 + 631 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95110560000 + 8010071001 = 308400^2 + 89499^2 .

It is not a de Polignac number, because 103120631001 - 23 = 103120630993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103120631701) 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 5 ways as a sum of consecutive naturals, for example, 5728923936 + ... + 5728923953.

It is an arithmetic number, because the mean of its divisors is an integer number (24825337095).

Almost surely, 2103120631001 is an apocalyptic number.

It is an amenable number.

103120631001 is a deficient number, since it is larger than the sum of its proper divisors (45831391569).

103120631001 is a wasteful number, since it uses less digits than its factorization.

103120631001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11457847895 (or 11457847892 counting only the distinct ones).

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

Adding to 103120631001 its reverse (100136021301), we get a palindrome (203256652302).

The spelling of 103120631001 in words is "one hundred three billion, one hundred twenty million, six hundred thirty-one thousand, one".

Divisors: 1 3 9 11457847889 34373543667 103120631001