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10535013430000 = 24544643226901
BaseRepresentation
bin1001100101001101111110…
…1110111011001011110000
31101022010201012101111111121
42121103133232323023300
52340101201414230000
634223415055352024
72135062311433543
oct231233756731360
941263635344447
1010535013430000
1133a1968485724
12122190a822614
135b55a821cac7
14285c7c55685a
1513408e8aab1a
hex994dfbbb2f0

10535013430000 has 100 divisors (see below), whose sum is σ = 25511926951368. Its totient is φ = 4213079200000.

The previous prime is 10535013429991. The next prime is 10535013430013. The reversal of 10535013430000 is 3431053501.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×105350134300002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 46316550 + ... + 46543450.

Almost surely, 210535013430000 is an apocalyptic number.

10535013430000 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 10535013430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755963475684).

10535013430000 is an abundant number, since it is smaller than the sum of its proper divisors (14976913521368).

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

10535013430000 is an equidigital number, since it uses as much as digits as its factorization.

10535013430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231572 (or 231551 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 10535013430000 its reverse (3431053501), we get a palindrome (10538444483501).

The spelling of 10535013430000 in words is "ten trillion, five hundred thirty-five billion, thirteen million, four hundred thirty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 4643 5000 9286 10000 18572 23215 37144 46430 74288 92860 116075 185720 226901 232150 371440 453802 464300 580375 907604 928600 1134505 1160750 1815208 1857200 2269010 2321500 2901875 3630416 4538020 4643000 5672525 5803750 9076040 9286000 11345050 11607500 18152080 22690100 23215000 28362625 45380200 46430000 56725250 90760400 113450500 141813125 226901000 283626250 453802000 567252500 1053501343 1134505000 2107002686 2269010000 4214005372 5267506715 8428010744 10535013430 16856021488 21070026860 26337533575 42140053720 52675067150 84280107440 105350134300 131687667875 210700268600 263375335750 421400537200 526750671500 658438339375 1053501343000 1316876678750 2107002686000 2633753357500 5267506715000 10535013430000