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10131103344 = 243593979011
BaseRepresentation
bin10010110111101110…
…00101111001110000
3222011001110101002210
421123313011321300
5131222030301334
64353144412120
7506025646305
oct113367057160
928131411083
1010131103344
11432981a98a
121b68a77040
13c55c0120b
146c172d0ac
153e46585e9
hex25bdc5e70

10131103344 has 80 divisors (see below), whose sum is σ = 26685613440. Its totient is φ = 3311066880.

The previous prime is 10131103337. The next prime is 10131103349. The reversal of 10131103344 is 44330113101.

It is a self number, because there is not a number n which added to its sum of digits gives 10131103344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10131103349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1119799 + ... + 1128809.

It is an arithmetic number, because the mean of its divisors is an integer number (333570168).

Almost surely, 210131103344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10131103344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13342806720).

10131103344 is an abundant number, since it is smaller than the sum of its proper divisors (16554510096).

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

10131103344 is a wasteful number, since it uses less digits than its factorization.

10131103344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9478 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10131103344 its reverse (44330113101), we get a palindrome (54461216445).

The spelling of 10131103344 in words is "ten billion, one hundred thirty-one million, one hundred three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 397 472 708 794 944 1191 1416 1588 2382 2832 3176 4764 6352 9011 9528 18022 19056 23423 27033 36044 46846 54066 70269 72088 93692 108132 140538 144176 187384 216264 281076 374768 432528 531649 562152 1063298 1124304 1594947 2126596 3189894 3577367 4253192 6379788 7154734 8506384 10732101 12759576 14309468 21464202 25519152 28618936 42928404 57237872 85856808 171713616 211064653 422129306 633193959 844258612 1266387918 1688517224 2532775836 3377034448 5065551672 10131103344