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212211010200 = 2335271713032281
BaseRepresentation
bin1100010110100011000…
…0110000101010011000
3202021202100110021102110
43011220300300222120
511434102004311300
6241253254232320
721221533552560
oct3055060605230
9667670407373
10212211010200
1181aa8645972
12351650556a0
131701c0c45b7
14a3b1b49da0
1557c04c6550
hex3168c30a98

212211010200 has 384 divisors, whose sum is σ = 797018987520. Its totient is φ = 45597081600.

The previous prime is 212211010169. The next prime is 212211010213. The reversal of 212211010200 is 2010112212.

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 95 ways as a sum of consecutive naturals, for example, 93033060 + ... + 93035340.

It is an arithmetic number, because the mean of its divisors is an integer number (2075570280).

Almost surely, 2212211010200 is an apocalyptic number.

212211010200 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 212211010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398509493760).

212211010200 is an abundant number, since it is smaller than the sum of its proper divisors (584807977320).

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

212211010200 is a wasteful number, since it uses less digits than its factorization.

212211010200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3627 (or 3618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212211010200 its reverse (2010112212), we get a palindrome (214221122412).

The spelling of 212211010200 in words is "two hundred twelve billion, two hundred eleven million, ten thousand, two hundred".