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13203312210 = 23251115784947
BaseRepresentation
bin11000100101111101…
…01000111001010010
31021002011100202101100
430102332220321102
5204020021442320
610022052445230
7645122205414
oct142276507122
937064322340
1013203312210
115665a1a980
122685919816
13132554879a
148d37709b4
15524212790
hex312fa8e52

13203312210 has 96 divisors (see below), whose sum is σ = 37688369472. Its totient is φ = 3180378240.

The previous prime is 13203312209. The next prime is 13203312229. The reversal of 13203312210 is 1221330231.

13203312210 is a `hidden beast` number, since 1 + 320 + 331 + 2 + 2 + 10 = 666.

13203312210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112957 + ... + 197903.

It is an arithmetic number, because the mean of its divisors is an integer number (392587182).

Almost surely, 213203312210 is an apocalyptic number.

13203312210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13203312210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18844184736).

13203312210 is an abundant number, since it is smaller than the sum of its proper divisors (24485057262).

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

13203312210 is a wasteful number, since it uses less digits than its factorization.

13203312210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85128 (or 85125 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13203312210 its reverse (1221330231), we get a palindrome (14424642441).

The spelling of 13203312210 in words is "thirteen billion, two hundred three million, three hundred twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 157 165 198 314 330 471 495 785 942 990 1413 1570 1727 2355 2826 3454 4710 5181 7065 8635 10362 14130 15543 17270 25905 31086 51810 77715 84947 155430 169894 254841 424735 509682 764523 849470 934417 1274205 1529046 1868834 2548410 2803251 3822615 4672085 5606502 7645230 8409753 9344170 13336679 14016255 16819506 26673358 28032510 40010037 42048765 66683395 80020074 84097530 120030111 133366790 146703469 200050185 240060222 293406938 400100370 440110407 600150555 733517345 880220814 1200301110 1320331221 1467034690 2200552035 2640662442 4401104070 6601656105 13203312210