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104065205013 = 327112320273221
BaseRepresentation
bin110000011101011000…
…1010000001100010101
3100221121111001011011100
41200322301100030111
53201111143030023
6115450142300313
710342555435110
oct1407261201425
9327544034140
10104065205013
1140152105870
1218203287699
139a75ab12b3
145072d09577
152a9108ec43
hex183ac50315

104065205013 has 96 divisors (see below), whose sum is σ = 195712837632. Its totient is φ = 51667862400.

The previous prime is 104065204981. The next prime is 104065205017. The reversal of 104065205013 is 310502560401.

104065205013 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 652 + 0 + 5 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 104065205013 - 25 = 104065204981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104065205017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32306743 + ... + 32309963.

It is an arithmetic number, because the mean of its divisors is an integer number (2038675392).

Almost surely, 2104065205013 is an apocalyptic number.

It is an amenable number.

104065205013 is a deficient number, since it is larger than the sum of its proper divisors (91647632619).

104065205013 is a wasteful number, since it uses less digits than its factorization.

104065205013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5295 (or 5292 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 104065205013 its reverse (310502560401), we get a palindrome (414567765414).

The spelling of 104065205013 in words is "one hundred four billion, sixty-five million, two hundred five thousand, thirteen".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2027 2277 3221 5313 6081 9663 14189 15939 18243 22297 22547 28989 35431 42567 46621 66891 67641 74083 106293 127701 139863 156079 200673 202923 222249 248017 318879 326347 419589 468237 512831 518581 666747 744051 814913 979041 1404711 1538493 1555743 2232153 2444739 2937123 3589817 4615479 4667229 5704391 6528967 7334217 10769451 17113173 19586901 32308353 45702769 51339519 58760703 71818637 137108307 150166241 215455911 411324921 450498723 502730459 646367733 1051163687 1351496169 1508191377 1651828651 3153491061 4524574131 4955485953 9460473183 11562800557 14866457859 34688401671 104065205013