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103775464380 = 223572279112647
BaseRepresentation
bin110000010100101111…
…1111110101110111100
3100220212021211210201210
41200221133332232330
53200013004330010
6115401312204420
710332436615200
oct1405137765674
9326767753653
10103775464380
11400135a93a5
1218142239710
139a2aa66133
145046646b00
152a7590ab20
hex18297febbc

103775464380 has 144 divisors (see below), whose sum is σ = 338159356416. Its totient is φ = 23709732480.

The previous prime is 103775464363. The next prime is 103775464417. The reversal of 103775464380 is 83464577301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8199217 + ... + 8211863.

It is an arithmetic number, because the mean of its divisors is an integer number (2348328864).

Almost surely, 2103775464380 is an apocalyptic number.

103775464380 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 103775464380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169079678208).

103775464380 is an abundant number, since it is smaller than the sum of its proper divisors (234383892036).

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

103775464380 is a wasteful number, since it uses less digits than its factorization.

103775464380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15464 (or 15455 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The spelling of 103775464380 in words is "one hundred three billion, seven hundred seventy-five million, four hundred sixty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2791 2940 5582 8373 11164 12647 13955 16746 19537 25294 27910 33492 37941 39074 41865 50588 55820 58611 63235 75882 78148 83730 88529 97685 117222 126470 136759 151764 167460 177058 189705 195370 234444 252940 265587 273518 293055 354116 379410 390740 410277 442645 531174 547036 586110 619703 683795 758820 820554 885290 1062348 1172220 1239406 1327935 1367590 1641108 1770580 1859109 2051385 2478812 2655870 2735180 3098515 3718218 4102770 5311740 6197030 7436436 8205540 9295545 12394060 18591090 35297777 37182180 70595554 105893331 141191108 176488885 211786662 247084439 352977770 423573324 494168878 529466655 705955540 741253317 988337756 1058933310 1235422195 1482506634 1729591073 2117866620 2470844390 2965013268 3459182146 3706266585 4941688780 5188773219 6918364292 7412533170 8647955365 10377546438 14825066340 17295910730 20755092876 25943866095 34591821460 51887732190 103775464380