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13201310000 = 24542357397
BaseRepresentation
bin11000100101101110…
…00000000100110000
31021002000121000212102
430102313000010300
5204014013410000
610021541515532
7645066166154
oct142267000460
937060530772
1013201310000
11566488265a
122685112ba8
131324cc7348
148d33ad064
15523e693d5
hex312dc0130

13201310000 has 100 divisors (see below), whose sum is σ = 33351911472. Its totient is φ = 5050848000.

The previous prime is 13201309997. The next prime is 13201310053. The reversal of 13201310000 is 1310231.

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

It is a super-2 number, since 2×132013100002 (a number of 21 digits) contains 22 as substring.

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, 201302 + ... + 258698.

Almost surely, 213201310000 is an apocalyptic number.

13201310000 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 13201310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16675955736).

13201310000 is an abundant number, since it is smaller than the sum of its proper divisors (20150601472).

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

13201310000 is an equidigital number, since it uses as much as digits as its factorization.

13201310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57448 (or 57427 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 13201310000 its reverse (1310231), we get a palindrome (13202620231).

The spelling of 13201310000 in words is "thirteen billion, two hundred one million, three hundred ten thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 625 920 1000 1150 1250 1840 2000 2300 2500 2875 4600 5000 5750 9200 10000 11500 14375 23000 28750 46000 57397 57500 114794 115000 229588 230000 286985 459176 573970 918352 1147940 1320131 1434925 2295880 2640262 2869850 4591760 5280524 5739700 6600655 7174625 10561048 11479400 13201310 14349250 21122096 22958800 26402620 28698500 33003275 35873125 52805240 57397000 66006550 71746250 105610480 114794000 132013100 143492500 165016375 264026200 286985000 330032750 528052400 573970000 660065500 825081875 1320131000 1650163750 2640262000 3300327500 6600655000 13201310000