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21002202211200 = 273527523597577
BaseRepresentation
bin1001100011001111101001…
…10011010110001110000000
32202100210100120201211222120
410301213310303112032000
510223100002231224300
6112400140053404240
74265234102166510
oct461476463261600
982323316654876
1021002202211200
116767a90692891
12243244b039680
13b946648a6512
14528724d59840
152664aeb043a0
hex1319f4cd6380

21002202211200 has 384 divisors, whose sum is σ = 79209585381120. Its totient is φ = 4791316561920.

The previous prime is 21002202211163. The next prime is 21002202211201. The reversal of 21002202211200 is 211220220012.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21002202211200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21002202211201) 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, 34846812 + ... + 35444388.

It is an arithmetic number, because the mean of its divisors is an integer number (206274961930).

Almost surely, 221002202211200 is an apocalyptic number.

21002202211200 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 21002202211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39604792690560).

21002202211200 is an abundant number, since it is smaller than the sum of its proper divisors (58207383169920).

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

21002202211200 is a wasteful number, since it uses less digits than its factorization.

21002202211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598134 (or 598117 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21002202211200 its reverse (211220220012), we get a palindrome (21213422431212).

It can be divided in two parts, 21002 and 202211200, that added together give a palindrome (202232202).

The spelling of 21002202211200 in words is "twenty-one trillion, two billion, two hundred two million, two hundred eleven thousand, two hundred".