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104134431401 = 71113104030401
BaseRepresentation
bin110000011111011100…
…1010101001010101001
3100221210022022012220122
41200332321111022221
53201231403301101
6115501054133025
710344356030240
oct1407671251251
9327708265818
10104134431401
1140188198660
12182224b1175
139a8723b960
14507c1a9957
152a971b651b
hex183ee552a9

104134431401 has 16 divisors (see below), whose sum is σ = 139816860288. Its totient is φ = 74901888000.

The previous prime is 104134431397. The next prime is 104134431403.

It is a happy number.

104134431401 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 104134431401 - 22 = 104134431397 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (104134431403) 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, 52014200 + ... + 52016201.

It is an arithmetic number, because the mean of its divisors is an integer number (8738553768).

Almost surely, 2104134431401 is an apocalyptic number.

104134431401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104134431401 is a deficient number, since it is larger than the sum of its proper divisors (35682428887).

104134431401 is a wasteful number, since it uses less digits than its factorization.

104134431401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104030432.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 104134 and 431401, that added together give a palindrome (535535).

The spelling of 104134431401 in words is "one hundred four billion, one hundred thirty-four million, four hundred thirty-one thousand, four hundred one".

Divisors: 1 7 11 13 77 91 143 1001 104030401 728212807 1144334411 1352395213 8010340877 9466766491 14876347343 104134431401