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101310024320 = 275892776421
BaseRepresentation
bin101111001011010001…
…1000100101010000000
3100200111110200110202222
41132112203010222000
53124440331234240
6114312521230212
710214361666251
oct1362643045200
9320443613688
10101310024320
1139a6895a82a
1217774632368
13972704736b
144c91030b28
15297e259eb5
hex17968c4a80

101310024320 has 128 divisors (see below), whose sum is σ = 245838013200. Its totient is φ = 39917813760.

The previous prime is 101310024251. The next prime is 101310024359. The reversal of 101310024320 is 23420013101.

It can be written as a sum of positive squares in 8 ways, for example, as 6411525184 + 94898499136 = 80072^2 + 308056^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15774710 + ... + 15781130.

Almost surely, 2101310024320 is an apocalyptic number.

101310024320 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 101310024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122919006600).

101310024320 is an abundant number, since it is smaller than the sum of its proper divisors (144527988880).

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

101310024320 is an equidigital number, since it uses as much as digits as its factorization.

101310024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6806 (or 6794 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 101310024320 its reverse (23420013101), we get a palindrome (124730037421).

The spelling of 101310024320 in words is "one hundred one billion, three hundred ten million, twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 89 128 160 178 277 320 356 445 554 640 712 890 1108 1385 1424 1780 2216 2770 2848 3560 4432 5540 5696 6421 7120 8864 11080 11392 12842 14240 17728 22160 24653 25684 28480 32105 35456 44320 49306 51368 56960 64210 88640 98612 102736 123265 128420 177280 197224 205472 246530 256840 394448 410944 493060 513680 571469 788896 821888 986120 1027360 1142938 1577792 1778617 1972240 2054720 2285876 2857345 3155584 3557234 3944480 4109440 4571752 5714690 7114468 7888960 8893085 9143504 11429380 14228936 15777920 17786170 18287008 22858760 28457872 35572340 36574016 45717520 56915744 71144680 73148032 91435040 113831488 142289360 158296913 182870080 227662976 284578720 316593826 365740160 569157440 633187652 791484565 1138314880 1266375304 1582969130 2532750608 3165938260 5065501216 6331876520 10131002432 12663753040 20262004864 25327506080 50655012160 101310024320