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103600204004 = 221119418933961
BaseRepresentation
bin110000001111100001…
…1011010100011100100
3100220102002001122200202
41200133003122203210
53144133123012004
6115332051530032
710325211130043
oct1403703324344
9326362048622
10103600204004
113aa33683710
12180b35b9918
139a0066167b
14502b26455a
152a6533bb1e
hex181f0da8e4

103600204004 has 96 divisors (see below), whose sum is σ = 215672284800. Its totient is φ = 43034112000.

The previous prime is 103600204003. The next prime is 103600204049. The reversal of 103600204004 is 400402006301.

It is a happy number.

It is a super-3 number, since 3×1036002040043 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (103600204003) by changing a digit.

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, 3033584 + ... + 3067544.

It is an arithmetic number, because the mean of its divisors is an integer number (2246586300).

Almost surely, 2103600204004 is an apocalyptic number.

It is an amenable number.

103600204004 is an abundant number, since it is smaller than the sum of its proper divisors (112072080796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103600204004 is a wasteful number, since it uses less digits than its factorization.

103600204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34125 (or 34123 counting only the distinct ones).

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

The spelling of 103600204004 in words is "one hundred three billion, six hundred million, two hundred four thousand, four".

Divisors: 1 2 4 11 19 22 38 41 44 76 82 89 164 178 209 356 418 451 779 836 902 979 1558 1691 1804 1958 3116 3382 3649 3916 6764 7298 8569 14596 17138 18601 33961 34276 37202 40139 67922 69331 74404 80278 135844 138662 160556 277324 373571 645259 747142 762641 1290518 1392401 1494284 1525282 2581036 2784802 3022529 3050564 5569604 6045058 7097849 12090116 14195698 15316411 26455619 28391396 30632822 33247819 52911238 57428051 61265644 66495638 105822476 114856102 123923689 132991276 229712204 247847378 291011809 495694756 582023618 631708561 1164047236 1263417122 1363160579 2354550091 2526834244 2726321158 4709100182 5452642316 9418200364 25900051001 51800102002 103600204004