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213202030213200 = 243527233331087781
BaseRepresentation
bin110000011110011111110111…
…010001101011100001010000
31000221212220201001121210021210
4300132133313101223201100
5210421100224213310300
62033235354402420120
762623224026502150
oct6036376721534120
91027786631553253
10213202030213200
1161a29522987496
121bab3b94661640
1391c6b32a5b842
143a9106760c760
15199ad1a02a050
hexc1e7f746b850

213202030213200 has 240 divisors, whose sum is σ = 780556649141376. Its totient is φ = 48729759283200.

The previous prime is 213202030213189. The next prime is 213202030213201. The reversal of 213202030213200 is 2312030202312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213202030213201) 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, 195453310 + ... + 196541090.

Almost surely, 2213202030213200 is an apocalyptic number.

213202030213200 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 213202030213200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390278324570688).

213202030213200 is an abundant number, since it is smaller than the sum of its proper divisors (567354618928176).

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

213202030213200 is a wasteful number, since it uses less digits than its factorization.

213202030213200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111142 (or 1111131 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 213202030213200 its reverse (2312030202312), we get a palindrome (215514060415512).

The spelling of 213202030213200 in words is "two hundred thirteen trillion, two hundred two billion, thirty million, two hundred thirteen thousand, two hundred".