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103406604301 = 71113103303301
BaseRepresentation
bin110000001001110000…
…0111001000000001101
3100212220120202202211101
41200103200321000031
53143234042314201
6115300534223101
710320340430320
oct1402340710015
9325816682741
10103406604301
113a944372360
121805a7b4a91
13999c508630
14500d66a7b7
152a53348d01
hex181383900d

103406604301 has 16 divisors (see below), whose sum is σ = 138839637888. Its totient is φ = 74378376000.

The previous prime is 103406604289. The next prime is 103406604331.

103406604301 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 103406604301 - 25 = 103406604269 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 103406604301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103406604331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51650650 + ... + 51652651.

It is an arithmetic number, because the mean of its divisors is an integer number (8677477368).

Almost surely, 2103406604301 is an apocalyptic number.

103406604301 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

103406604301 is a deficient number, since it is larger than the sum of its proper divisors (35433033587).

103406604301 is a wasteful number, since it uses less digits than its factorization.

103406604301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103303332.

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 103406 and 604301, that added together give a palindrome (707707).

The spelling of 103406604301 in words is "one hundred three billion, four hundred six million, six hundred four thousand, three hundred one".

Divisors: 1 7 11 13 77 91 143 1001 103303301 723123107 1136336311 1342942913 7954354177 9400600391 14772372043 103406604301