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103378140684 = 223271359534851
BaseRepresentation
bin110000001000111010…
…0010011111000001100
3100212211121012200002100
41200101310103320030
53143204301000214
6115254040155100
710316543461110
oct1402164237014
9325747180070
10103378140684
113a92a2a1205
1218051168a90
139996650a60
14500997b740
152a50ac5309
hex1811d13e0c

103378140684 has 144 divisors (see below), whose sum is σ = 327072695040. Its totient is φ = 26802403200.

The previous prime is 103378140673. The next prime is 103378140737. The reversal of 103378140684 is 486041873301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74142 + ... + 460709.

It is an arithmetic number, because the mean of its divisors is an integer number (2271338160).

Almost surely, 2103378140684 is an apocalyptic number.

103378140684 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 103378140684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163536347520).

103378140684 is an abundant number, since it is smaller than the sum of its proper divisors (223694554356).

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

103378140684 is a wasteful number, since it uses less digits than its factorization.

103378140684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534940 (or 534935 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 103378140684 in words is "one hundred three billion, three hundred seventy-eight million, one hundred forty thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 59 63 78 84 91 117 118 126 156 177 182 234 236 252 273 354 364 413 468 531 546 708 767 819 826 1062 1092 1239 1534 1638 1652 2124 2301 2478 3068 3276 3717 4602 4956 5369 6903 7434 9204 10738 13806 14868 16107 21476 27612 32214 48321 64428 96642 193284 534851 1069702 1604553 2139404 3209106 3743957 4813659 6418212 6953063 7487914 9627318 11231871 13906126 14975828 19254636 20859189 22463742 27812252 31556209 33695613 41718378 44927484 48671441 62577567 63112418 67391226 83436756 94668627 97342882 125155134 126224836 134782452 146014323 189337254 194685764 220893463 250310268 284005881 292028646 378674508 410230717 438042969 441786926 568011762 584057292 662680389 820461434 876085938 883573852 1136023524 1230692151 1325360778 1640922868 1752171876 1988041167 2461384302 2650721556 2871615019 3692076453 3976082334 4922768604 5743230038 7384152906 7952164668 8614845057 11486460076 14768305812 17229690114 25844535171 34459380228 51689070342 103378140684