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10201343000 = 2353175031193
BaseRepresentation
bin10011000000000110…
…00010010000011000
3222022221121220210112
421200003002100120
5131343020434000
64404134103452
7510540661532
oct114003022030
928287556715
1010201343000
114365434a92
121b884aab88
13c67624b44
146cabb4852
153ea8d0235
hex2600c2418

10201343000 has 128 divisors (see below), whose sum is σ = 25346805120. Its totient is φ = 3829657600.

The previous prime is 10201342969. The next prime is 10201343069. The reversal of 10201343000 is 34310201.

It is a congruent number.

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, 8550404 + ... + 8551596.

It is an arithmetic number, because the mean of its divisors is an integer number (198021915).

Almost surely, 210201343000 is an apocalyptic number.

10201343000 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 10201343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12673402560).

10201343000 is an abundant number, since it is smaller than the sum of its proper divisors (15145462120).

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

10201343000 is a wasteful number, since it uses less digits than its factorization.

10201343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10201343000 its reverse (34310201), we get a palindrome (10235653201).

The spelling of 10201343000 in words is "ten billion, two hundred one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 200 250 340 425 500 503 680 850 1000 1006 1193 1700 2012 2125 2386 2515 3400 4024 4250 4772 5030 5965 8500 8551 9544 10060 11930 12575 17000 17102 20120 20281 23860 25150 29825 34204 40562 42755 47720 50300 59650 62875 68408 81124 85510 100600 101405 119300 125750 149125 162248 171020 202810 213775 238600 251500 298250 342040 405620 427550 503000 507025 596500 600079 811240 855100 1014050 1068875 1193000 1200158 1710200 2028100 2137750 2400316 2535125 3000395 4056200 4275500 4800632 5070250 6000790 8551000 10140500 10201343 12001580 15001975 20281000 20402686 24003160 30003950 40805372 51006715 60007900 75009875 81610744 102013430 120015800 150019750 204026860 255033575 300039500 408053720 510067150 600079000 1020134300 1275167875 2040268600 2550335750 5100671500 10201343000