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10310100000 = 2535534367
BaseRepresentation
bin10011001101000011…
…11010010000100000
3222121112021100100120
421212201322100200
5132103341200000
64423021120240
7513331255404
oct114641722040
928545240316
1010310100000
114410867802
121bb89b9080
13c840134b5
146db405104
154052146a0
hex26687a420

10310100000 has 144 divisors (see below), whose sum is σ = 33828834816. Its totient is φ = 2749280000.

The previous prime is 10310099953. The next prime is 10310100011. The reversal of 10310100000 is 101301.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 282817 + ... + 317183.

It is an arithmetic number, because the mean of its divisors is an integer number (234922464).

Almost surely, 210310100000 is an apocalyptic number.

10310100000 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 10310100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914417408).

10310100000 is an abundant number, since it is smaller than the sum of its proper divisors (23518734816).

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

10310100000 is an frugal number, since it uses more digits than its factorization.

10310100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34405 (or 34377 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 6.

Adding to 10310100000 its reverse (101301), we get a palindrome (10310201301).

The spelling of 10310100000 in words is "ten billion, three hundred ten million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 34367 37500 50000 60000 68734 75000 100000 103101 137468 150000 171835 206202 274936 300000 343670 412404 515505 549872 687340 824808 859175 1031010 1099744 1374680 1649616 1718350 2062020 2577525 2749360 3299232 3436700 4124040 4295875 5155050 5498720 6873400 8248080 8591750 10310100 12887625 13746800 16496160 17183500 20620200 21479375 25775250 27493600 34367000 41240400 42958750 51550500 64438125 68734000 82480800 85917500 103101000 107396875 128876250 137468000 171835000 206202000 214793750 257752500 322190625 343670000 412404000 429587500 515505000 644381250 687340000 859175000 1031010000 1288762500 1718350000 2062020000 2577525000 3436700000 5155050000 10310100000