Search a number
-
+
104120413001 = 1122929672389
BaseRepresentation
bin110000011111000001…
…1110110101101001001
3100221202022221000021122
41200332003312231021
53201214311204001
6115455433445025
710344125623253
oct1407603665511
9327668830248
10104120413001
1140180293400
1218219870775
139a84371047
14507a39acd3
152a95d47b1b
hex183e0f6b49

104120413001 has 12 divisors (see below), whose sum is σ = 118392836100. Its totient is φ = 91390955040.

The previous prime is 104120412989. The next prime is 104120413021. The reversal of 104120413001 is 100314021401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 83592687376 + 20527725625 = 289124^2 + 143275^2 .

It is not a de Polignac number, because 104120413001 - 214 = 104120396617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (104120413021) 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 11 ways as a sum of consecutive naturals, for example, 14832686 + ... + 14839703.

It is an arithmetic number, because the mean of its divisors is an integer number (9866069675).

Almost surely, 2104120413001 is an apocalyptic number.

104120413001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104120413001 is a deficient number, since it is larger than the sum of its proper divisors (14272423099).

104120413001 is a wasteful number, since it uses less digits than its factorization.

104120413001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29672440 (or 29672429 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 104120413001 its reverse (100314021401), we get a palindrome (204434434402).

The spelling of 104120413001 in words is "one hundred four billion, one hundred twenty million, four hundred thirteen thousand, one".

Divisors: 1 11 29 121 319 3509 29672389 326396279 860499281 3590359069 9465492091 104120413001