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211303231000 = 2353232399439
BaseRepresentation
bin1100010011001010100…
…1110110111000011000
3202012102002022022110121
43010302221312320120
511430222111343000
6241023225323024
721160201554151
oct3046251667030
9665362268417
10211303231000
118168218aa24
1234b51036474
1316c06006144
14a327366928
15576a95eb1a
hex3132a76e18

211303231000 has 96 divisors (see below), whose sum is σ = 516883348800. Its totient is φ = 80846251200.

The previous prime is 211303230979. The next prime is 211303231001. The reversal of 211303231000 is 132303112.

It is a super-2 number, since 2×2113032310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211303231001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329281 + ... + 728719.

It is an arithmetic number, because the mean of its divisors is an integer number (5384201550).

Almost surely, 2211303231000 is an apocalyptic number.

211303231000 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 211303231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258441674400).

211303231000 is an abundant number, since it is smaller than the sum of its proper divisors (305580117800).

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

211303231000 is a wasteful number, since it uses less digits than its factorization.

211303231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399506 (or 399469 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 211303231000 its reverse (132303112), we get a palindrome (211435534112).

The spelling of 211303231000 in words is "two hundred eleven billion, three hundred three million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 529 575 920 1000 1058 1150 2116 2300 2645 2875 4232 4600 5290 5750 10580 11500 13225 21160 23000 26450 52900 66125 105800 132250 264500 399439 529000 798878 1597756 1997195 3195512 3994390 7988780 9187097 9985975 15977560 18374194 19971950 36748388 39943900 45935485 49929875 73496776 79887800 91870970 99859750 183741940 199719500 211303231 229677425 367483880 399439000 422606462 459354850 845212924 918709700 1056516155 1148387125 1690425848 1837419400 2113032310 2296774250 4226064620 4593548500 5282580775 8452129240 9187097000 10565161550 21130323100 26412903875 42260646200 52825807750 105651615500 211303231000