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211210230000 = 2435471191433
BaseRepresentation
bin1100010010110100011…
…1000101100011110000
3202012011121022101002010
43010231013011203300
511430024304330000
6241010104122520
721154662222210
oct3045507054360
9665147271063
10211210230000
11816347399a0
1234b25a66440
1316bbc973273
14a318c78240
1557626ddd50
hex312d1c58f0

211210230000 has 400 divisors, whose sum is σ = 850064092416. Its totient is φ = 43887360000.

The previous prime is 211210229977. The next prime is 211210230029. The reversal of 211210230000 is 32012112.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2112102300002 (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 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, 2264284 + ... + 2355716.

Almost surely, 2211210230000 is an apocalyptic number.

211210230000 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 211210230000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425032046208).

211210230000 is an abundant number, since it is smaller than the sum of its proper divisors (638853862416).

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

211210230000 is a wasteful number, since it uses less digits than its factorization.

211210230000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91482 (or 91461 counting only the distinct ones).

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

Adding to 211210230000 its reverse (32012112), we get a palindrome (211242242112).

The spelling of 211210230000 in words is "two hundred eleven billion, two hundred ten million, two hundred thirty thousand".