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10381000380 = 22353111349391
BaseRepresentation
bin10011010101100000…
…10111111010111100
3222210110200110101120
421222300113322330
5132230014003010
64434032510540
7515152022142
oct115260277274
928713613346
1010381000380
114447893263
1220186ab450
13c95908a9a
147069bd592
1540b56be70
hex26ac17ebc

10381000380 has 96 divisors (see below), whose sum is σ = 30270578688. Its totient is φ = 2655206400.

The previous prime is 10381000367. The next prime is 10381000391. The reversal of 10381000380 is 8300018301.

It is a self number, because there is not a number n which added to its sum of digits gives 10381000380.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 185485 + ... + 234875.

It is an arithmetic number, because the mean of its divisors is an integer number (315318528).

Almost surely, 210381000380 is an apocalyptic number.

10381000380 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 10381000380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135289344).

10381000380 is an abundant number, since it is smaller than the sum of its proper divisors (19889578308).

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

10381000380 is a wasteful number, since it uses less digits than its factorization.

10381000380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49547 (or 49545 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10381000380 its reverse (8300018301), we get a palindrome (18681018681).

The spelling of 10381000380 in words is "ten billion, three hundred eighty-one million, three hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 113 124 155 186 226 310 339 372 452 465 565 620 678 930 1130 1356 1695 1860 2260 3390 3503 6780 7006 10509 14012 17515 21018 35030 42036 49391 52545 70060 98782 105090 148173 197564 210180 246955 296346 493910 592692 740865 987820 1481730 1531121 2963460 3062242 4593363 5581183 6124484 7655605 9186726 11162366 15311210 16743549 18373452 22324732 22966815 27905915 30622420 33487098 45933630 55811830 66974196 83717745 91867260 111623660 167435490 173016673 334870980 346033346 519050019 692066692 865083365 1038100038 1730166730 2076200076 2595250095 3460333460 5190500190 10381000380