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103017889296 = 24327238212
BaseRepresentation
bin101111111110001011…
…0000011111000010000
3100211220111100000002100
41133330112003320100
53141440034424141
6115154210520400
710304610416400
oct1377426037020
9324814300070
10103017889296
113a764a04a93
1217b70596100
139939b1875a
144db3ba2800
152a2e1640b6
hex17fc583e10

103017889296 has 135 divisors (see below), whose sum is σ = 335465336973. Its totient is φ = 29425979520.

The previous prime is 103017889283. The next prime is 103017889343. The reversal of 103017889296 is 692988710301.

The square root of 103017889296 is 320964.

It is a perfect power (a square), and thus also a powerful number.

103017889296 is a `hidden beast` number, since 103 + 0 + 178 + 89 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 92515738896 + 10502150400 = 304164^2 + 102480^2 .

It is a super-2 number, since 2×1030178892962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26959066 + ... + 26962886.

Almost surely, 2103017889296 is an apocalyptic number.

103017889296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

103017889296 is the 320964-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103017889296

103017889296 is an abundant number, since it is smaller than the sum of its proper divisors (232447447677).

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

103017889296 is an frugal number, since it uses more digits than its factorization.

103017889296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7670 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 103017889296 in words is "one hundred three billion, seventeen million, eight hundred eighty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3528 3821 7056 7642 11463 15284 22926 26747 30568 34389 45852 53494 61136 68778 80241 91704 106988 137556 160482 183408 187229 213976 240723 275112 320964 374458 427952 481446 550224 561687 641928 748916 962892 1123374 1283856 1497832 1685061 1925784 2246748 2995664 3370122 3851568 4493496 6740244 8986992 13480488 14600041 26960976 29200082 43800123 58400164 87600246 102200287 116800328 131400369 175200492 204400574 233600656 262800738 306600861 350400984 408801148 525601476 613201722 700801968 715402009 817602296 919802583 1051202952 1226403444 1430804018 1635204592 1839605166 2102405904 2146206027 2452806888 2861608036 3679210332 4292412054 4905613776 5723216072 6438618081 7358420664 8584824108 11446432144 12877236162 14716841328 17169648216 25754472324 34339296432 51508944648 103017889296