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21210011022120 = 2335558293165919
BaseRepresentation
bin1001101001010010101110…
…01011000011001100101000
32210002122202010200020021020
410310221113023003030220
510240001100310201440
6113035424453412440
74316241563014224
oct464512713031450
983078663606236
1021210011022120
11683812a307228
12246678593a120
13bab131947a6b
145347da177784
1526bac38aa3d0
hex134a572c3328

21210011022120 has 64 divisors (see below), whose sum is σ = 63631192896000. Its totient is φ = 5655899843328.

The previous prime is 21210011022091. The next prime is 21210011022127. The reversal of 21210011022120 is 2122011001212.

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 21210011022120.

It is not an unprimeable number, because it can be changed into a prime (21210011022127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5116521 + ... + 8282439.

It is an arithmetic number, because the mean of its divisors is an integer number (994237389000).

Almost surely, 221210011022120 is an apocalyptic number.

21210011022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210011022120 is an abundant number, since it is smaller than the sum of its proper divisors (42421181873880).

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

21210011022120 is a wasteful number, since it uses less digits than its factorization.

21210011022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3221762 (or 3221758 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21210011022120 its reverse (2122011001212), we get a palindrome (23332022023332).

The spelling of 21210011022120 in words is "twenty-one trillion, two hundred ten billion, eleven million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 55829 111658 167487 223316 279145 334974 446632 558290 669948 837435 1116580 1339896 1674870 2233160 3165919 3349740 6331838 6699480 9497757 12663676 15829595 18995514 25327352 31659190 37991028 47488785 63318380 75982056 94977570 126636760 189955140 379910280 176750091851 353500183702 530250275553 707000367404 883750459255 1060500551106 1414000734808 1767500918510 2121001102212 2651251377765 3535001837020 4242002204424 5302502755530 7070003674040 10605005511060 21210011022120