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21321321310200 = 23352193779494917
BaseRepresentation
bin1001101100100010000011…
…10010000110011111111000
32210111022001112121201222110
410312101001302012133320
510243312031223411300
6113202514011252320
74330262134604442
oct466210162063770
983438045551873
1021321321310200
11688035a04114a
12248426b44a0a0
13bb8790742652
14539d59399492
1526e93aa26550
hex136441c867f8

21321321310200 has 192 divisors, whose sum is σ = 69593389488000. Its totient is φ = 5385002826240.

The previous prime is 21321321310171. The next prime is 21321321310231. The reversal of 21321321310200 is 201312312312.

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, 42833142 + ... + 43328058.

It is an arithmetic number, because the mean of its divisors is an integer number (362465570250).

Almost surely, 221321321310200 is an apocalyptic number.

21321321310200 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 21321321310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34796694744000).

21321321310200 is an abundant number, since it is smaller than the sum of its proper divisors (48272068177800).

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

21321321310200 is a wasteful number, since it uses less digits than its factorization.

21321321310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498734 (or 498725 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 21321321310200 its reverse (201312312312), we get a palindrome (21522633622512).

The spelling of 21321321310200 in words is "twenty-one trillion, three hundred twenty-one billion, three hundred twenty-one million, three hundred ten thousand, two hundred".