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13340202000 = 243533760091
BaseRepresentation
bin11000110110010001…
…10101010000010000
31021102200221110212120
430123020311100100
5204310042431000
610043422454240
7651403563126
oct143310652020
937380843776
1013340202000
115726218234
122703734380
131347a07268
14907a05916
155312526a0
hex31b235410

13340202000 has 160 divisors (see below), whose sum is σ = 44171946624. Its totient is φ = 3461184000.

The previous prime is 13340201957. The next prime is 13340202023. The reversal of 13340202000 is 20204331.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191955 + ... + 252045.

Almost surely, 213340202000 is an apocalyptic number.

13340202000 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 13340202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22085973312).

13340202000 is an abundant number, since it is smaller than the sum of its proper divisors (30831744624).

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

13340202000 is a wasteful number, since it uses less digits than its factorization.

13340202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60154 (or 60138 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 13340202000 its reverse (20204331), we get a palindrome (13360406331).

The spelling of 13340202000 in words is "thirteen billion, three hundred forty million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 37 40 48 50 60 74 75 80 100 111 120 125 148 150 185 200 222 240 250 296 300 370 375 400 444 500 555 592 600 740 750 888 925 1000 1110 1200 1480 1500 1776 1850 2000 2220 2775 2960 3000 3700 4440 4625 5550 6000 7400 8880 9250 11100 13875 14800 18500 22200 27750 37000 44400 55500 60091 74000 111000 120182 180273 222000 240364 300455 360546 480728 600910 721092 901365 961456 1201820 1442184 1502275 1802730 2223367 2403640 2884368 3004550 3605460 4446734 4506825 4807280 6009100 6670101 7210920 7511375 8893468 9013650 11116835 12018200 13340202 14421840 15022750 17786936 18027300 22233670 22534125 24036400 26680404 30045500 33350505 35573872 36054600 44467340 45068250 53360808 55584175 60091000 66701010 72109200 88934680 90136500 106721616 111168350 120182000 133402020 166752525 177869360 180273000 222336700 266804040 277920875 333505050 360546000 444673400 533608080 555841750 667010100 833762625 889346800 1111683500 1334020200 1667525250 2223367000 2668040400 3335050500 4446734000 6670101000 13340202000