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212331131300 = 225219167669181
BaseRepresentation
bin1100010110111111101…
…0111111000110100100
3202022001201111001121002
43011233322333012210
511434323232200200
6241313225012432
721224522560061
oct3055772770644
9668051431532
10212331131300
118205a42a702
1235199324118
131703ac61682
14a3c3a97c68
1557cad02bd5
hex316febf1a4

212331131300 has 72 divisors (see below), whose sum is σ = 487913979840. Its totient is φ = 79980393600.

The previous prime is 212331131279. The next prime is 212331131351. The reversal of 212331131300 is 3131133212.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17291 + ... + 651890.

Almost surely, 2212331131300 is an apocalyptic number.

212331131300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212331131300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243956989920).

212331131300 is an abundant number, since it is smaller than the sum of its proper divisors (275582848540).

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

212331131300 is a wasteful number, since it uses less digits than its factorization.

212331131300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669381 (or 669374 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 212331131300 its reverse (3131133212), we get a palindrome (215462264512).

The spelling of 212331131300 in words is "two hundred twelve billion, three hundred thirty-one million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 167 190 334 380 475 668 835 950 1670 1900 3173 3340 4175 6346 8350 12692 15865 16700 31730 63460 79325 158650 317300 669181 1338362 2676724 3345905 6691810 12714439 13383620 16729525 25428878 33459050 50857756 63572195 66918100 111753227 127144390 223506454 254288780 317860975 447012908 558766135 635721950 1117532270 1271443900 2123311313 2235064540 2793830675 4246622626 5587661350 8493245252 10616556565 11175322700 21233113130 42466226260 53082782825 106165565650 212331131300