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13313310231200 = 255272339625261
BaseRepresentation
bin1100000110111011111100…
…1000001000101010100000
31202010201222110222100200112
43001232333020020222200
53221111124404344300
644152014510110452
72542566144542600
oct301567710105240
952121873870615
1013313310231200
114273163603771
1215b02607ab428
13757594229675
14340520baac00
1518149a627e35
hexc1bbf208aa0

13313310231200 has 108 divisors (see below), whose sum is σ = 37807423791102. Its totient is φ = 4564563494400.

The previous prime is 13313310231157. The next prime is 13313310231239. The reversal of 13313310231200 is 213201331331.

It can be written as a sum of positive squares in 3 ways, for example, as 12450142882576 + 863167348624 = 3528476^2 + 929068^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 169773431 + ... + 169851830.

Almost surely, 213313310231200 is an apocalyptic number.

13313310231200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13313310231200 is an abundant number, since it is smaller than the sum of its proper divisors (24494113559902).

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

13313310231200 is a wasteful number, since it uses less digits than its factorization.

13313310231200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339625295 (or 339625275 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13313310231200 its reverse (213201331331), we get a palindrome (13526511562531).

The spelling of 13313310231200 in words is "thirteen trillion, three hundred thirteen billion, three hundred ten million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1120 1225 1400 1568 1960 2450 2800 3920 4900 5600 7840 9800 19600 39200 339625261 679250522 1358501044 1698126305 2377376827 2717002088 3396252610 4754753654 5434004176 6792505220 8490631525 9509507308 10868008352 11886884135 13585010440 16641637789 16981263050 19019014616 23773768270 27170020880 33283275578 33962526100 38038029232 47547536540 54340041760 59434420675 66566551156 67925052200 76076058464 83208188945 95095073080 118868841350 133133102312 135850104400 166416377890 190190146160 237737682700 266266204624 271700208800 332832755780 380380292320 416040944725 475475365400 532532409248 665665511560 832081889450 950950730800 1331331023120 1664163778900 1901901461600 2662662046240 3328327557800 6656655115600 13313310231200