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103060100304 = 2433736792863
BaseRepresentation
bin101111111111011011…
…1000101010011010000
3100212000102202112201000
41133332313011103100
53142031341202204
6115202315342000
710305632253510
oct1377667052320
9325012675630
10103060100304
113a786815817
1217b82751900
1399457a7795
144db962d840
152a32c01039
hex17fedc54d0

103060100304 has 160 divisors (see below), whose sum is σ = 339005603840. Its totient is φ = 29365193088.

The previous prime is 103060100293. The next prime is 103060100309. The reversal of 103060100304 is 403001060301.

103060100304 is a `hidden beast` number, since 1 + 0 + 30 + 601 + 0 + 0 + 30 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103060100309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063377 + ... + 1156239.

It is an arithmetic number, because the mean of its divisors is an integer number (2118785024).

Almost surely, 2103060100304 is an apocalyptic number.

103060100304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103060100304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169502801920).

103060100304 is an abundant number, since it is smaller than the sum of its proper divisors (235945503536).

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

103060100304 is a wasteful number, since it uses less digits than its factorization.

103060100304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93254 (or 93242 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103060100304 its reverse (403001060301), we get a palindrome (506061160605).

The spelling of 103060100304 in words is "one hundred three billion, sixty million, one hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 367 378 432 504 734 756 1008 1101 1468 1512 2202 2569 2936 3024 3303 4404 5138 5872 6606 7707 8808 9909 10276 13212 15414 17616 19818 20552 23121 26424 30828 39636 41104 46242 52848 61656 69363 79272 92484 92863 123312 138726 158544 184968 185726 277452 278589 369936 371452 554904 557178 650041 742904 835767 1109808 1114356 1300082 1485808 1671534 1950123 2228712 2507301 2600164 3343068 3900246 4457424 5014602 5200328 5850369 6686136 7800492 10029204 10400656 11700738 13372272 15600984 17551107 20058408 23401476 31201968 34080721 35102214 40116816 46802952 68161442 70204428 93605904 102242163 136322884 140408856 204484326 238565047 272645768 280817712 306726489 408968652 477130094 545291536 613452978 715695141 817937304 920179467 954260188 1226905956 1431390282 1635874608 1840358934 1908520376 2147085423 2453811912 2862780564 3680717868 3817040752 4294170846 4907623824 5725561128 6441256269 7361435736 8588341692 11451122256 12882512538 14722871472 17176683384 25765025076 34353366768 51530050152 103060100304