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211002231000 = 2335311293759101
BaseRepresentation
bin1100010010000010110…
…1101000100011011000
3202011122002220221002110
43010200231220203120
511424113032343000
6240533314032320
721146555241141
oct3044055504330
9664562827073
10211002231000
11815382931a0
1234a882786a0
1316b88848132
14a2d93b2ac8
15574e304850
hex3120b688d8

211002231000 has 1024 divisors, whose sum is σ = 783634176000. Its totient is φ = 46771200000.

The previous prime is 211002230993. The next prime is 211002231023. The reversal of 211002231000 is 132200112.

It is a super-2 number, since 2×2110022310002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2089130950 + ... + 2089131050.

It is an arithmetic number, because the mean of its divisors is an integer number (765267750).

Almost surely, 2211002231000 is an apocalyptic number.

211002231000 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 211002231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391817088000).

211002231000 is an abundant number, since it is smaller than the sum of its proper divisors (572631945000).

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

211002231000 is a wasteful number, since it uses less digits than its factorization.

211002231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 211002231000 its reverse (132200112), we get a palindrome (211134431112).

The spelling of 211002231000 in words is "two hundred eleven billion, two million, two hundred thirty-one thousand".