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13211817210 = 23255310326891
BaseRepresentation
bin11000100110111110…
…00101010011111010
31021002202100212001100
430103133011103322
5204024211122320
610022555032230
7645254410344
oct142337052372
937082325040
1013211817210
11566a7a98a9
12268873b676
131327235a27
148d4946294
15524d42790
hex3137c54fa

13211817210 has 96 divisors (see below), whose sum is σ = 35339960448. Its totient is φ = 3422989440.

The previous prime is 13211817169. The next prime is 13211817211. The reversal of 13211817210 is 1271811231.

It is a super-2 number, since 2×132118172102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13211817211) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 477865 + ... + 504755.

It is an arithmetic number, because the mean of its divisors is an integer number (368124588).

Almost surely, 213211817210 is an apocalyptic number.

13211817210 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 13211817210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669980224).

13211817210 is an abundant number, since it is smaller than the sum of its proper divisors (22128143238).

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

13211817210 is a wasteful number, since it uses less digits than its factorization.

13211817210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27060 (or 27057 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 27.

The spelling of 13211817210 in words is "thirteen billion, two hundred eleven million, eight hundred seventeen thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 103 106 159 206 265 309 318 477 515 530 618 795 927 954 1030 1545 1590 1854 2385 3090 4635 4770 5459 9270 10918 16377 26891 27295 32754 49131 53782 54590 80673 81885 98262 134455 161346 163770 242019 245655 268910 403365 484038 491310 806730 1210095 1425223 2420190 2769773 2850446 4275669 5539546 7126115 8309319 8551338 12827007 13848865 14252230 16618638 21378345 24927957 25654014 27697730 41546595 42756690 49855914 64135035 83093190 124639785 128270070 146797969 249279570 293595938 440393907 733989845 880787814 1321181721 1467979690 2201969535 2642363442 4403939070 6605908605 13211817210