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21110211021200 = 2452759677188753
BaseRepresentation
bin1001100110011000110101…
…01000010000100110010000
32202202010010220100220011212
410303030122220100212100
510231332203010134300
6112521521433155252
74306106465010350
oct463143250204620
982663126326155
1021110211021200
1167a9876863424
12244b372b5bb28
13ba18b86c2092
1452da4d8d8b60
152691d1ec9935
hex13331aa10990

21110211021200 has 240 divisors, whose sum is σ = 59032405791360. Its totient is φ = 7104564879360.

The previous prime is 21110211021197. The next prime is 21110211021203. The reversal of 21110211021200 is 212011201112.

It is an interprime number because it is at equal distance from previous prime (21110211021197) and next prime (21110211021203).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21110211021203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111746024 + ... + 111934776.

It is an arithmetic number, because the mean of its divisors is an integer number (245968357464).

Almost surely, 221110211021200 is an apocalyptic number.

21110211021200 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 21110211021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29516202895680).

21110211021200 is an abundant number, since it is smaller than the sum of its proper divisors (37922194770160).

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

21110211021200 is a wasteful number, since it uses less digits than its factorization.

21110211021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189514 (or 189503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21110211021200 its reverse (212011201112), we get a palindrome (21322222222312).

The spelling of 21110211021200 in words is "twenty-one trillion, one hundred ten billion, two hundred eleven million, twenty-one thousand, two hundred".