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21342200202 = 23229471675209
BaseRepresentation
bin10011111000000110…
…000010000110001010
32001002101010002210100
4103320012002012022
5322202100401302
613445433230230
71353610465011
oct237006020612
961071102710
1021342200202
11906212a994
124177562376
132021799a3b
14106666da78
1584d9e4d1c
hex4f818218a

21342200202 has 96 divisors (see below), whose sum is σ = 49155724800. Its totient is φ = 6681072384.

The previous prime is 21342200179. The next prime is 21342200203. The reversal of 21342200202 is 20200224312.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21342200203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4094574 + ... + 4099782.

It is an arithmetic number, because the mean of its divisors is an integer number (512038800).

Almost surely, 221342200202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21342200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24577862400).

21342200202 is an abundant number, since it is smaller than the sum of its proper divisors (27813524598).

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

21342200202 is a wasteful number, since it uses less digits than its factorization.

21342200202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5460 (or 5457 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 21342200202 its reverse (20200224312), we get a palindrome (41542424514).

The spelling of 21342200202 in words is "twenty-one billion, three hundred forty-two million, two hundred thousand, two hundred two".

Divisors: 1 2 3 6 9 18 29 47 58 87 94 141 167 174 261 282 334 423 501 522 846 1002 1363 1503 2726 3006 4089 4843 5209 7849 8178 9686 10418 12267 14529 15627 15698 23547 24534 29058 31254 43587 46881 47094 70641 87174 93762 141282 151061 227621 244823 302122 453183 455242 489646 682863 734469 869903 906366 1359549 1365726 1468938 1739806 2048589 2203407 2609709 2719098 4097178 4406814 5219418 7099867 7829127 14199734 15658254 21299601 25227187 40885441 42599202 50454374 63898803 75681561 81770882 122656323 127797606 151363122 227044683 245312646 367968969 454089366 735937938 1185677789 2371355578 3557033367 7114066734 10671100101 21342200202