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404213123131103 = 111319801491856191
BaseRepresentation
bin101101111101000010011001…
…1100111100010011011011111
31222000012101201112201122011002
41123322010303213202123133
5410440111434010143403
63551404540101220515
7151066302002442056
oct13372046347423337
91860171645648132
10404213123131103
11107881906214060
123940326510173b
13144711983b9490
1471b603b8c739d
1531ae79e6d3188
hex16fa1339e26df

404213123131103 has 32 divisors (see below), whose sum is σ = 499879930368000. Its totient is φ = 321343018819200.

The previous prime is 404213123131063. The next prime is 404213123131121. The reversal of 404213123131103 is 301131321312404.

It is a cyclic number.

It is not a de Polignac number, because 404213123131103 - 210 = 404213123130079 is a prime.

It is a super-2 number, since 2×4042131231311032 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404213123131133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 216836738 + ... + 218692928.

It is an arithmetic number, because the mean of its divisors is an integer number (15621247824000).

Almost surely, 2404213123131103 is an apocalyptic number.

404213123131103 is a deficient number, since it is larger than the sum of its proper divisors (95666807236897).

404213123131103 is a wasteful number, since it uses less digits than its factorization.

404213123131103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936383.

The product of its (nonzero) digits is 5184, while the sum is 29.

Adding to 404213123131103 its reverse (301131321312404), we get a palindrome (705344444443507).

The spelling of 404213123131103 in words is "four hundred four trillion, two hundred thirteen billion, one hundred twenty-three million, one hundred thirty-one thousand, one hundred three".

Divisors: 1 11 13 19 143 209 247 2717 80149 881639 1041937 1522831 1856191 11461307 16751141 19796803 20418101 24130483 35267629 217764833 265435313 387943919 458479177 5043270947 148771852459 1636490377049 1934034081967 2826665196721 21274374901637 31093317163931 36746647557373 404213123131103