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104013300404 = 22133103151761
BaseRepresentation
bin110000011011110101…
…1010000001010110100
3100221110212101010102102
41200313223100022310
53201004401103104
6115441050001232
710341355315526
oct1406753201264
9327425333372
10104013300404
11401258840a2
12181a9a16218
139a6810a000
14506a077a16
152a8b73aa1e
hex1837ad02b4

104013300404 has 96 divisors (see below), whose sum is σ = 200681295360. Its totient is φ = 47163168000.

The previous prime is 104013300371. The next prime is 104013300421. The reversal of 104013300404 is 404003310401.

It is a happy number.

It is a super-3 number, since 3×1040133004043 (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136679384 + ... + 136680144.

It is an arithmetic number, because the mean of its divisors is an integer number (2090430160).

Almost surely, 2104013300404 is an apocalyptic number.

It is an amenable number.

104013300404 is a deficient number, since it is larger than the sum of its proper divisors (96667994956).

104013300404 is a wasteful number, since it uses less digits than its factorization.

104013300404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1058 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 104013300404 its reverse (404003310401), we get a palindrome (508016610805).

The spelling of 104013300404 in words is "one hundred four billion, thirteen million, three hundred thousand, four hundred four".

Divisors: 1 2 4 13 26 52 103 151 169 206 302 338 412 604 676 761 1339 1522 1963 2197 2678 3044 3926 4394 5356 7852 8788 9893 15553 17407 19786 25519 31106 34814 39572 51038 62212 69628 78383 102076 114911 128609 156766 202189 226291 229822 257218 313532 331747 404378 452582 459644 514436 663494 808756 905164 1018979 1326988 1493843 1671917 2037958 2628457 2987686 3343834 4075916 5256914 5975372 6687668 10513828 11835833 13246727 19419959 23671666 26493454 34169941 38839918 47343332 52986908 68339882 77679836 136679764 153865829 172207451 252459467 307731658 344414902 504918934 615463316 688829804 1009837868 2000255777 4000511554 8001023108 26003325101 52006650202 104013300404