Search a number
-
+
212102020200 = 23352760918291
BaseRepresentation
bin1100010110001001000…
…0111111110001101000
3202021110202101000020210
43011202100333301220
511433341104121300
6241234402221120
721216041265510
oct3054220776150
9667422330223
10212102020200
1181a52074094
12351346547a0
1317002653b85
14a3a1498840
1557b5b48050
hex316243fc68

212102020200 has 192 divisors, whose sum is σ = 751661176320. Its totient is φ = 48466656000.

The previous prime is 212102020189. The next prime is 212102020201. The reversal of 212102020200 is 2020201212.

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

It is not an unprimeable number, because it can be changed into a prime (212102020201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25578055 + ... + 25586345.

It is an arithmetic number, because the mean of its divisors is an integer number (3914901960).

Almost surely, 2212102020200 is an apocalyptic number.

212102020200 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 212102020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375830588160).

212102020200 is an abundant number, since it is smaller than the sum of its proper divisors (539559156120).

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

212102020200 is a wasteful number, since it uses less digits than its factorization.

212102020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14408 (or 14399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 212102020200 its reverse (2020201212), we get a palindrome (214122221412).

The spelling of 212102020200 in words is "two hundred twelve billion, one hundred two million, twenty thousand, two hundred".