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13314120000 = 26354110951
BaseRepresentation
bin11000110011001010…
…10101100101000000
31021100212212101002120
430121211111211000
5204231403320000
610041051444240
7650636103246
oct143145254500
937325771076
1013314120000
115712523465
1226b6a56680
1313424a471c
14904376796
1552dcee6a0
hex319955940

13314120000 has 140 divisors (see below), whose sum is σ = 44019984096. Its totient is φ = 3550400000.

The previous prime is 13314119999. The next prime is 13314120011. The reversal of 13314120000 is 2141331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 64525 + ... + 175475.

Almost surely, 213314120000 is an apocalyptic number.

13314120000 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 13314120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009992048).

13314120000 is an abundant number, since it is smaller than the sum of its proper divisors (30705864096).

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

13314120000 is an equidigital number, since it uses as much as digits as its factorization.

13314120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110986 (or 110961 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13314120000 its reverse (2141331), we get a palindrome (13316261331).

The spelling of 13314120000 in words is "thirteen billion, three hundred fourteen million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 110951 120000 221902 332853 443804 554755 665706 887608 1109510 1331412 1664265 1775216 2219020 2662824 2773775 3328530 3550432 4438040 5325648 5547550 6657060 7100864 8321325 8876080 10651296 11095100 13314120 13868875 16642650 17752160 21302592 22190200 26628240 27737750 33285300 35504320 41606625 44380400 53256480 55475500 66570600 69344375 83213250 88760800 106512960 110951000 133141200 138688750 166426500 177521600 208033125 221902000 266282400 277377500 332853000 416066250 443804000 532564800 554755000 665706000 832132500 887608000 1109510000 1331412000 1664265000 2219020000 2662824000 3328530000 4438040000 6657060000 13314120000