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10310344000 = 265311117163
BaseRepresentation
bin10011001101000101…
…10101110101000000
3222121112201202001121
421212202311311000
5132103422002000
64423030242024
7513333322645
oct114642656500
928545652047
1010310344000
114410a14060
121bb8ab6314
13c8409a588
146db469dcc
15405261b1a
hex2668b5d40

10310344000 has 112 divisors (see below), whose sum is σ = 27855038016. Its totient is φ = 3749184000.

The previous prime is 10310343983. The next prime is 10310344007. The reversal of 10310344000 is 44301301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10310344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29419 + ... + 146581.

Almost surely, 210310344000 is an apocalyptic number.

10310344000 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 10310344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927519008).

10310344000 is an abundant number, since it is smaller than the sum of its proper divisors (17544694016).

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

10310344000 is a wasteful number, since it uses less digits than its factorization.

10310344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117201 (or 117181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10310344000 its reverse (44301301), we get a palindrome (10354645301).

The spelling of 10310344000 in words is "ten billion, three hundred ten million, three hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 704 800 880 1000 1100 1375 1600 1760 2000 2200 2750 3520 4000 4400 5500 8000 8800 11000 17600 22000 44000 88000 117163 234326 468652 585815 937304 1171630 1288793 1874608 2343260 2577586 2929075 3749216 4686520 5155172 5858150 6443965 7498432 9373040 10310344 11716300 12887930 14645375 18746080 20620688 23432600 25775860 29290750 32219825 37492160 41241376 46865200 51551720 58581500 64439650 82482752 93730400 103103440 117163000 128879300 161099125 187460800 206206880 234326000 257758600 322198250 412413760 468652000 515517200 644396500 937304000 1031034400 1288793000 2062068800 2577586000 5155172000 10310344000