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13113310021200 = 2432523642586117
BaseRepresentation
bin1011111011010010111000…
…1011111000011001010000
31201102121202010022000010100
42332310232023320121100
53204322024331134300
643520101011332400
72522256022032414
oct276645613703120
951377663260110
1013113310021200
1141a6361709814
121579544bb1100
1374176cb65a3c
1433498aa72d44
1517b192161700
hexbed2e2f8650

13113310021200 has 90 divisors (see below), whose sum is σ = 45506828372174. Its totient is φ = 3496882671360.

The previous prime is 13113310021187. The next prime is 13113310021277. The reversal of 13113310021200 is 212001331131.

13113310021200 is a `hidden beast` number, since 1 + 311 + 3 + 310 + 0 + 21 + 20 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114141271104 + 12999168750096 = 337848^2 + 3605436^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1821289459 + ... + 1821296658.

Almost surely, 213113310021200 is an apocalyptic number.

13113310021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13113310021200 is an abundant number, since it is smaller than the sum of its proper divisors (32393518350974).

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

13113310021200 is a wasteful number, since it uses less digits than its factorization.

13113310021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3642586141 (or 3642586127 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13113310021200 its reverse (212001331131), we get a palindrome (13325311352331).

The spelling of 13113310021200 in words is "thirteen trillion, one hundred thirteen billion, three hundred ten million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 3642586117 7285172234 10927758351 14570344468 18212930585 21855516702 29140688936 32783275053 36425861170 43711033404 54638791755 58281377872 65566550106 72851722340 87422066808 91064652925 109277583510 131133100212 145703444680 163916375265 174844133616 182129305850 218555167020 262266200424 273193958775 291406889360 327832750530 364258611700 437110334040 524532400848 546387917550 655665501060 728517223400 819581876325 874220668080 1092775835100 1311331002120 1457034446800 1639163752650 2185551670200 2622662004240 3278327505300 4371103340400 6556655010600 13113310021200