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211210231320 = 23345117381181
BaseRepresentation
bin1100010010110100011…
…1000101111000011000
3202012011121022102220000
43010231013011320120
511430024304400240
6241010104133000
721154662226104
oct3045507057030
9665147272800
10211210231320
118163473a990
1234b25a67160
1316bbc973a4a
14a318c78904
1557626de430
hex312d1c5e18

211210231320 has 320 divisors, whose sum is σ = 785055918240. Its totient is φ = 50500454400.

The previous prime is 211210231303. The next prime is 211210231321. The reversal of 211210231320 is 23132012112.

211210231320 is a `hidden beast` number, since 2 + 112 + 1 + 0 + 231 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211210231293 and 211210231302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210231321) 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 79 ways as a sum of consecutive naturals, for example, 2561130 + ... + 2642310.

Almost surely, 2211210231320 is an apocalyptic number.

211210231320 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 211210231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392527959120).

211210231320 is an abundant number, since it is smaller than the sum of its proper divisors (573845686920).

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

211210231320 is a wasteful number, since it uses less digits than its factorization.

211210231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81288 (or 81275 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211210231320 its reverse (23132012112), we get a palindrome (234342243432).

The spelling of 211210231320 in words is "two hundred eleven billion, two hundred ten million, two hundred thirty-one thousand, three hundred twenty".