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213111112110 = 235131249437501
BaseRepresentation
bin1100011001111001101…
…0011000000110101110
3202101002002011012010020
43012132122120012232
511442422421041420
6241522450423010
721253043364441
oct3063632300656
9671062135106
10213111112110
118241a737846
1235376591a66
1317133725490
14a4594d1658
155824523340
hex319e6981ae

213111112110 has 64 divisors (see below), whose sum is σ = 551252520000. Its totient is φ = 52416000000.

The previous prime is 213111112103. The next prime is 213111112127. The reversal of 213111112110 is 11211111312.

213111112110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2131111121102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213111112110.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 268360 + ... + 705860.

It is an arithmetic number, because the mean of its divisors is an integer number (8613320625).

Almost surely, 2213111112110 is an apocalyptic number.

213111112110 is an abundant number, since it is smaller than the sum of its proper divisors (338141407890).

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

213111112110 is a wasteful number, since it uses less digits than its factorization.

213111112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438773.

The product of its (nonzero) digits is 12, while the sum is 15.

Adding to 213111112110 its reverse (11211111312), we get a palindrome (224322223422).

It can be divided in two parts, 213111 and 112110, that added together give a triangular number (325221 = T806).

The spelling of 213111112110 in words is "two hundred thirteen billion, one hundred eleven million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 1249 2498 3747 6245 7494 12490 16237 18735 32474 37470 48711 81185 97422 162370 243555 437501 487110 875002 1312503 2187505 2625006 4375010 5687513 6562515 11375026 13125030 17062539 28437565 34125078 56875130 85312695 170625390 546438749 1092877498 1639316247 2732193745 3278632494 5464387490 7103703737 8196581235 14207407474 16393162470 21311111211 35518518685 42622222422 71037037370 106555556055 213111112110