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213432111220 = 2251012412631667
BaseRepresentation
bin1100011011000110001…
…0111001000001110100
3202101220110011122010011
43012301202321001310
511444102110024340
6242014354510004
721264022004056
oct3066142710164
9671813148104
10213432111220
1182574954169
1235445b95304
1317185096393
14a489dad8d6
1558427ce0ea
hex31b18b9074

213432111220 has 96 divisors (see below), whose sum is σ = 456525248256. Its totient is φ = 83806464000.

The previous prime is 213432111199. The next prime is 213432111227. The reversal of 213432111220 is 22111234312.

It is a junction number, because it is equal to n+sod(n) for n = 213432111191 and 213432111200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213432111227) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 128032827 + ... + 128034493.

It is an arithmetic number, because the mean of its divisors is an integer number (4755471336).

Almost surely, 2213432111220 is an apocalyptic number.

213432111220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213432111220 is an abundant number, since it is smaller than the sum of its proper divisors (243093137036).

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

213432111220 is a wasteful number, since it uses less digits than its factorization.

213432111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2279 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 213432111220 its reverse (22111234312), we get a palindrome (235543345532).

The spelling of 213432111220 in words is "two hundred thirteen billion, four hundred thirty-two million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 101 202 241 263 404 482 505 526 964 1010 1052 1205 1315 1667 2020 2410 2630 3334 4820 5260 6668 8335 16670 24341 26563 33340 48682 53126 63383 97364 106252 121705 126766 132815 168367 243410 253532 265630 316915 336734 401747 438421 486820 531260 633830 673468 803494 841835 876842 1267660 1606988 1683670 1753684 2008735 2192105 3367340 4017470 4384210 6401683 8034940 8768420 12803366 25606732 32008415 40576447 44280521 64016830 81152894 88561042 105659461 128033660 162305788 177122084 202882235 211318922 221402605 405764470 422637844 442805210 528297305 811528940 885610420 1056594610 2113189220 10671605561 21343211122 42686422244 53358027805 106716055610 213432111220