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212442141300 = 223523122843241
BaseRepresentation
bin1100010111011010001…
…0011101001001110100
3202022100110100221200120
43011312202131021310
511440040142010200
6241332232211540
721230341256304
oct3056642351164
9668313327616
10212442141300
1182107061104
123520a539bb0
1317057c5b66c
14a3d4713604
1557d592e9a0
hex317689d274

212442141300 has 72 divisors (see below), whose sum is σ = 634493889792. Its totient is φ = 54823776000.

The previous prime is 212442141227. The next prime is 212442141313. The reversal of 212442141300 is 3141244212.

212442141300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 11412321 + ... + 11430920.

It is an arithmetic number, because the mean of its divisors is an integer number (8812415136).

Almost surely, 2212442141300 is an apocalyptic number.

212442141300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212442141300 is an abundant number, since it is smaller than the sum of its proper divisors (422051748492).

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

212442141300 is a wasteful number, since it uses less digits than its factorization.

212442141300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22843289 (or 22843282 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212442141300 its reverse (3141244212), we get a palindrome (215583385512).

The spelling of 212442141300 in words is "two hundred twelve billion, four hundred forty-two million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 22843241 45686482 68529723 91372964 114216205 137059446 228432410 274118892 342648615 456864820 571081025 685297230 708140471 1142162050 1370594460 1416280942 1713243075 2124421413 2284324100 2832561884 3426486150 3540702355 4248842826 6852972300 7081404710 8497685652 10622107065 14162809420 17703511775 21244214130 35407023550 42488428260 53110535325 70814047100 106221070650 212442141300