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131211221302200 = 233521316821951449
BaseRepresentation
bin11101110101010111111110…
…001111000111101110111000
3122012120200002121120121112110
4131311113332033013232320
5114144231040123132300
61143021334122012320
736431461244666334
oct3565277617075670
9565520077517473
10131211221302200
1138898403834796
12128717446470a0
13582a21b89c880
14245892ab227c4
151028189489550
hex7755fe3c7bb8

131211221302200 has 96 divisors (see below), whose sum is σ = 438043615758000. Its totient is φ = 32298146780160.

The previous prime is 131211221302121. The next prime is 131211221302201. The reversal of 131211221302200 is 2203122112131.

It is a super-2 number, since 2×1312112213022002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131211221302201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8410967925 + ... + 8410983524.

Almost surely, 2131211221302200 is an apocalyptic number.

131211221302200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131211221302200 is an abundant number, since it is smaller than the sum of its proper divisors (306832394455800).

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

131211221302200 is a wasteful number, since it uses less digits than its factorization.

131211221302200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16821951481 (or 16821951472 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 131211221302200 its reverse (2203122112131), we get a palindrome (133414343414331).

The spelling of 131211221302200 in words is "one hundred thirty-one trillion, two hundred eleven billion, two hundred twenty-one million, three hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 16821951449 33643902898 50465854347 67287805796 84109757245 100931708694 134575611592 168219514490 201863417388 218685368837 252329271735 336439028980 403726834776 420548786225 437370737674 504658543470 656056106511 672878057960 841097572450 874741475348 1009317086940 1093426844185 1261646358675 1312112213022 1682195144900 1749482950696 2018634173880 2186853688370 2523292717350 2624224426044 3280280532555 3364390289800 4373707376740 5046585434700 5248448852088 5467134220925 6560561065110 8747414753480 10093170869400 10934268441850 13121122130220 16401402662775 21868536883700 26242244260440 32802805325550 43737073767400 65605610651100 131211221302200