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21343304124 = 2232191071931511
BaseRepresentation
bin10011111000001010…
…001111100110111100
32001002110012012002100
4103320022033212330
5322202341212444
613445513025100
71353623043312
oct237012174674
961073165070
1021343304124
11906281431a
1241779b5190
132021a9534c
14106687a0b2
1584db61e69
hex4f828f9bc

21343304124 has 144 divisors (see below), whose sum is σ = 57656551680. Its totient is φ = 6638008320.

The previous prime is 21343304123. The next prime is 21343304141. The reversal of 21343304124 is 42140334312.

21343304124 is a `hidden beast` number, since 2 + 1 + 343 + 304 + 12 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21343304123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14124529 + ... + 14126039.

It is an arithmetic number, because the mean of its divisors is an integer number (400392720).

Almost surely, 221343304124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21343304124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28828275840).

21343304124 is an abundant number, since it is smaller than the sum of its proper divisors (36313247556).

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

21343304124 is a wasteful number, since it uses less digits than its factorization.

21343304124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 21343304124 its reverse (42140334312), we get a palindrome (63483638436).

The spelling of 21343304124 in words is "twenty-one billion, three hundred forty-three million, three hundred four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 107 114 171 193 214 228 321 342 386 428 579 642 684 772 963 1158 1284 1511 1737 1926 2033 2316 3022 3474 3667 3852 4066 4533 6044 6099 6948 7334 8132 9066 11001 12198 13599 14668 18132 18297 20651 22002 24396 27198 28709 33003 36594 41302 44004 54396 57418 61953 66006 73188 82604 86127 114836 123906 132012 161677 172254 185859 247812 258381 291623 323354 344508 371718 392369 485031 516762 583246 646708 743436 784738 874869 970062 1033524 1166492 1177107 1455093 1569476 1749738 1940124 2354214 2624607 2910186 3071863 3499476 3531321 4708428 5249214 5540837 5820372 6143726 7062642 9215589 10498428 11081674 12287452 14125284 16622511 18431178 22163348 27646767 31203661 33245022 36862356 49867533 55293534 62407322 66490044 93610983 99735066 110587068 124814644 187221966 199470132 280832949 374443932 561665898 592869559 1123331796 1185739118 1778608677 2371478236 3557217354 5335826031 7114434708 10671652062 21343304124