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1002240023500 = 225317388930319
BaseRepresentation
bin11101001010110100010…
…10010001101111001100
310112210221211102102001101
432211122022101233030
5112410041421223000
62044231145552444
7132260304431542
oct16453212215714
93483854372041
101002240023500
11357058401791
121422a81a5724
13736843a1631
1436719b41d92
151b10d23be6a
hexe95a291bcc

1002240023500 has 96 divisors (see below), whose sum is σ = 2318322988800. Its totient is φ = 377204428800.

The previous prime is 1002240023441. The next prime is 1002240023573. The reversal of 1002240023500 is 53200422001.

1002240023500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33041341 + ... + 33071659.

It is an arithmetic number, because the mean of its divisors is an integer number (24149197800).

Almost surely, 21002240023500 is an apocalyptic number.

1002240023500 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 1002240023500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159161494400).

1002240023500 is an abundant number, since it is smaller than the sum of its proper divisors (1316082965300).

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

1002240023500 is a wasteful number, since it uses less digits than its factorization.

1002240023500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34244 (or 34232 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 1002240023500 its reverse (53200422001), we get a palindrome (1055440445501).

The spelling of 1002240023500 in words is "one trillion, two billion, two hundred forty million, twenty-three thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 850 1700 2125 3889 4250 7778 8500 15556 19445 30319 38890 60638 66113 77780 97225 121276 132226 151595 194450 264452 303190 330565 388900 486125 515423 606380 661130 757975 972250 1030846 1322260 1515950 1652825 1944500 2061692 2577115 3031900 3305650 3789875 5154230 6611300 7579750 8264125 10308460 12885575 15159500 16528250 25771150 33056500 51542300 64427875 117910591 128855750 235821182 257711500 471642364 589552955 1179105910 2004480047 2358211820 2947764775 4008960094 5895529550 8017920188 10022400235 11791059100 14738823875 20044800470 29477647750 40089600940 50112001175 58955295500 100224002350 200448004700 250560005875 501120011750 1002240023500