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103087134480 = 243511255115307
BaseRepresentation
bin110000000000001111…
…0001101011100010000
3100212002022122000121210
41200000132031130100
53142110301300410
6115205123020120
710306411120401
oct1400036153420
9325068560553
10103087134480
113a79aaaaa10
1217b8b80a640
13994b281835
144dbd0699a8
152a35291220
hex180078d710

103087134480 has 160 divisors (see below), whose sum is σ = 348781390848. Its totient is φ = 24979392000.

The previous prime is 103087134467. The next prime is 103087134509. The reversal of 103087134480 is 84431780301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6726987 + ... + 6742293.

Almost surely, 2103087134480 is an apocalyptic number.

103087134480 is a gapful number since it is divisible by the number (10) 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 103087134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174390695424).

103087134480 is an abundant number, since it is smaller than the sum of its proper divisors (245694256368).

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

103087134480 is a wasteful number, since it uses less digits than its factorization.

103087134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17885 (or 17879 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 103087134480 in words is "one hundred three billion, eighty-seven million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2551 2640 5102 7653 10204 12755 15306 15307 20408 25510 28061 30612 30614 38265 40816 45921 51020 56122 61224 61228 76530 76535 84183 91842 102040 112244 122448 122456 140305 153060 153070 168366 168377 183684 204080 224488 229605 244912 280610 306120 306140 336732 336754 367368 420915 448976 459210 505131 561220 612240 612280 673464 673508 734736 841830 841885 918420 1010262 1122440 1224560 1346928 1347016 1683660 1683770 1836840 2020524 2244880 2525655 2694032 3367320 3367540 3673680 4041048 5051310 6734640 6735080 8082096 10102620 13470160 20205240 39048157 40410480 78096314 117144471 156192628 195240785 234288942 312385256 390481570 429529727 468577884 585722355 624770512 780963140 859059454 937155768 1171444710 1288589181 1561926280 1718118908 1874311536 2147648635 2342889420 2577178362 3123852560 3436237816 4295297270 4685778840 5154356724 6442945905 6872475632 8590594540 9371557680 10308713448 12885891810 17181189080 20617426896 25771783620 34362378160 51543567240 103087134480