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211210210112 = 261119532291301
BaseRepresentation
bin1100010010110100011…
…1000000101101000000
3202012011121021100210112
43010231013000231000
511430024303210422
6241010103450452
721154662110216
oct3045507005500
9665147240715
10211210210112
1181634725a60
1234b25a56a28
1316bbc9671b5
14a318c70cb6
1557626d7ee2
hex312d1c0b40

211210210112 has 224 divisors, whose sum is σ = 492887203200. Its totient is φ = 88777728000.

The previous prime is 211210210111. The next prime is 211210210129. The reversal of 211210210112 is 211012012112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211210210111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162343862 + ... + 162345162.

It is an arithmetic number, because the mean of its divisors is an integer number (2200389300).

Almost surely, 2211210210112 is an apocalyptic number.

211210210112 is a gapful number since it is divisible by the number (22) 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 211210210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246443601600).

211210210112 is an abundant number, since it is smaller than the sum of its proper divisors (281676993088).

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

211210210112 is a wasteful number, since it uses less digits than its factorization.

211210210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211210210112 its reverse (211012012112), we get a palindrome (422222222224).

The spelling of 211210210112 in words is "two hundred eleven billion, two hundred ten million, two hundred ten thousand, one hundred twelve".