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212111130200 = 2352411011931327
BaseRepresentation
bin1100010110001011001…
…1101111111001011000
3202021111101111211211012
43011202303233321120
511433400422131300
6241235325353052
721216211600334
oct3054263577130
9667441454735
10212111130200
1181a57226612
1235137708788
13170044c35c8
14a3a278a7c4
1557b6847435
hex3162cefe58

212111130200 has 192 divisors, whose sum is σ = 513218401920. Its totient is φ = 81469440000.

The previous prime is 212111130163. The next prime is 212111130221. The reversal of 212111130200 is 2031111212.

It is a super-2 number, since 2×2121111302002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159841937 + ... + 159843263.

It is an arithmetic number, because the mean of its divisors is an integer number (2673012510).

Almost surely, 2212111130200 is an apocalyptic number.

212111130200 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 212111130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256609200960).

212111130200 is an abundant number, since it is smaller than the sum of its proper divisors (301107271720).

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

212111130200 is a wasteful number, since it uses less digits than its factorization.

212111130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 212111130200 its reverse (2031111212), we get a palindrome (214142241412).

The spelling of 212111130200 in words is "two hundred twelve billion, one hundred eleven million, one hundred thirty thousand, two hundred".