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10031341003040 = 255721279507781
BaseRepresentation
bin1001000111111001101010…
…0001000110000100100000
31022111222122101212011112202
42101332122201012010200
52303323141244044130
633200200123312332
72053511660440100
oct221763241060440
938458571764482
1010031341003040
1132182a4530525
12116018397b6a8
13579c4a2b3836
1426973b6cd200
15125e1165b145
hex91f9a846120

10031341003040 has 72 divisors (see below), whose sum is σ = 27568274670972. Its totient is φ = 3439316912640.

The previous prime is 10031341003001. The next prime is 10031341003049. The reversal of 10031341003040 is 4030014313001.

It can be written as a sum of positive squares in 2 ways, for example, as 8542970282896 + 1488370720144 = 2922836^2 + 1219988^2 .

It is a super-3 number, since 3×100313410030403 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (10031341003049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 639746051 + ... + 639761730.

Almost surely, 210031341003040 is an apocalyptic number.

10031341003040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10031341003040 is an abundant number, since it is smaller than the sum of its proper divisors (17536933667932).

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

10031341003040 is a wasteful number, since it uses less digits than its factorization.

10031341003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279507810 (or 1279507795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 10031341003040 its reverse (4030014313001), we get a palindrome (14061355316041).

The spelling of 10031341003040 in words is "ten trillion, thirty-one billion, three hundred forty-one million, three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 1279507781 2559015562 5118031124 6397538905 8956554467 10236062248 12795077810 17913108934 20472124496 25590155620 35826217868 40944248992 44782772335 51180311240 62695881269 71652435736 89565544670 102360622480 125391762538 143304871472 179131089340 204721244960 250783525076 286609742944 313479406345 358262178680 501567050152 626958812690 716524357360 1003134100304 1253917625380 1433048714720 2006268200608 2507835250760 5015670501520 10031341003040