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13210231012200 = 23325237198351817
BaseRepresentation
bin1100000000111011111100…
…1000000111101101101000
31201202212220201020111001200
43000032333020013231220
53212414023114342300
644032410224444200
72532256560620325
oct300167710075550
951685821214050
1013210231012200
11423347801a882
121594293779660
1374a9477b9961
14339542c01b4c
1517d965dec200
hexc03bf207b68

13210231012200 has 144 divisors (see below), whose sum is σ = 45563396112780. Its totient is φ = 3427519380480.

The previous prime is 13210231012169. The next prime is 13210231012201. The reversal of 13210231012200 is 221013201231.

13210231012200 is a `hidden beast` number, since 1 + 3 + 210 + 231 + 0 + 1 + 220 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 6220943849124 + 6989287163076 = 2494182^2 + 2643726^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13210231012201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 99109309 + ... + 99242508.

Almost surely, 213210231012200 is an apocalyptic number.

13210231012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13210231012200 is an abundant number, since it is smaller than the sum of its proper divisors (32353165100580).

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

13210231012200 is a wasteful number, since it uses less digits than its factorization.

13210231012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198351876 (or 198351864 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210231012200 its reverse (221013201231), we get a palindrome (13431244213431).

The spelling of 13210231012200 in words is "thirteen trillion, two hundred ten billion, two hundred thirty-one million, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 37 40 45 50 60 72 74 75 90 100 111 120 148 150 180 185 200 222 225 296 300 333 360 370 444 450 555 600 666 740 888 900 925 1110 1332 1480 1665 1800 1850 2220 2664 2775 3330 3700 4440 5550 6660 7400 8325 11100 13320 16650 22200 33300 66600 198351817 396703634 595055451 793407268 991759085 1190110902 1586814536 1785166353 1983518170 2380221804 2975277255 3570332706 3967036340 4760443608 4958795425 5950554510 7140665412 7339017229 7934072680 8925831765 9917590850 11901109020 14281330824 14678034458 14876386275 17851663530 19835181700 22017051687 23802218040 29356068916 29752772550 35703327060 36695086145 39670363400 44034103374 44629158825 58712137832 59505545100 66051155061 71406654120 73390172290 88068206748 89258317650 110085258435 119011090200 132102310122 146780344580 176136413496 178516635300 183475430725 220170516870 264204620244 293560689160 330255775305 357033270600 366950861450 440341033740 528409240488 550426292175 660511550610 733901722900 880682067480 1100852584350 1321023101220 1467803445800 1651278876525 2201705168700 2642046202440 3302557753050 4403410337400 6605115506100 13210231012200