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21433200102 = 23343591011549
BaseRepresentation
bin10011111101100001…
…001010110111100110
32001022201100101012000
4103331201022313212
5322343344400402
613502443510130
71356064123566
oct237541126746
961281311160
1021433200102
1190a9534516
1241a1b28346
1320375abb32
14107479ada6
158569bcc1c
hex4fd84ade6

21433200102 has 128 divisors (see below), whose sum is σ = 50086080000. Its totient is φ = 6787670400.

The previous prime is 21433200083. The next prime is 21433200119. The reversal of 21433200102 is 20100233412.

21433200102 is a `hidden beast` number, since 21 + 433 + 200 + 10 + 2 = 666.

It is a super-2 number, since 2×214332001022 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13836024 + ... + 13837572.

It is an arithmetic number, because the mean of its divisors is an integer number (391297500).

Almost surely, 221433200102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21433200102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043040000).

21433200102 is an abundant number, since it is smaller than the sum of its proper divisors (28652879898).

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

21433200102 is a wasteful number, since it uses less digits than its factorization.

21433200102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1763 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 21433200102 its reverse (20100233412), we get a palindrome (41533433514).

The spelling of 21433200102 in words is "twenty-one billion, four hundred thirty-three million, two hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 43 54 59 86 101 118 129 177 202 258 303 354 387 531 606 774 909 1062 1161 1549 1593 1818 2322 2537 2727 3098 3186 4343 4647 5074 5454 5959 7611 8686 9294 11918 13029 13941 15222 17877 22833 26058 27882 35754 39087 41823 45666 53631 66607 68499 78174 83646 91391 107262 117261 133214 136998 156449 160893 182782 199821 234522 256237 274173 312898 321786 399642 469347 512474 548346 599463 768711 822519 938694 1198926 1408041 1537422 1645038 1798389 2306133 2467557 2816082 3596778 3929813 4224123 4612266 4935114 6727307 6918399 7859626 8448246 9230491 11789439 13454614 13836798 18460982 20181921 23578878 27691473 35368317 40363842 55382946 60545763 70736634 83074419 106104951 121091526 166148838 181637289 212209902 249223257 363274578 396911113 498446514 793822226 1190733339 2381466678 3572200017 7144400034 10716600051 21433200102