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13201032311000 = 2353671409139837
BaseRepresentation
bin1100000000011001101011…
…0101110111000011011000
31201202000011122021001020122
43000012122311313003120
53212241203232423000
644024245344412412
72531512613141432
oct300063265670330
951660148231218
1013201032311000
11422a587653486
121592547017108
13749b0cb185b1
14338d0d265652
1517d5c8571085
hexc019ad770d8

13201032311000 has 128 divisors (see below), whose sum is σ = 31373941809600. Its totient is φ = 5197871923200.

The previous prime is 13201032310993. The next prime is 13201032311011. The reversal of 13201032311000 is 11323010231.

It is a self number, because there is not a number n which added to its sum of digits gives 13201032311000.

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, 94333082 + ... + 94472918.

Almost surely, 213201032311000 is an apocalyptic number.

13201032311000 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 13201032311000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15686970904800).

13201032311000 is an abundant number, since it is smaller than the sum of its proper divisors (18172909498600).

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

13201032311000 is a wasteful number, since it uses less digits than its factorization.

13201032311000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141334 (or 141320 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 13201032311000 its reverse (11323010231), we get a palindrome (13212355321231).

The spelling of 13201032311000 in words is "thirteen trillion, two hundred one billion, thirty-two million, three hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1409 1675 2680 2818 3350 5636 6700 7045 8375 11272 13400 14090 16750 28180 33500 35225 56360 67000 70450 94403 139837 140900 176125 188806 279674 281800 352250 377612 472015 559348 699185 704500 755224 944030 1118696 1398370 1409000 1888060 2360075 2796740 3495925 3776120 4720150 5593480 6991850 9369079 9440300 11800375 13983700 17479625 18738158 18880600 23600750 27967400 34959250 37476316 46845395 47201500 69918500 74952632 93690790 94403000 139837000 187381580 197030333 234226975 374763160 394060666 468453950 788121332 936907900 985151665 1171134875 1576242664 1873815800 1970303330 2342269750 3940606660 4684539500 4925758325 7881213320 9369079000 9851516650 13201032311 19703033300 24628791625 26402064622 39406066600 49257583250 52804129244 66005161555 98515166500 105608258488 132010323110 197030333000 264020646220 330025807775 528041292440 660051615550 1320103231100 1650129038875 2640206462200 3300258077750 6600516155500 13201032311000