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21111124352 = 2719411931097
BaseRepresentation
bin10011101010010100…
…100011000110000000
32000111021022020022112
4103222110203012000
5321213421434402
613410500354452
71345103411333
oct235224430600
960437266275
1021111124352
118a5375220a
1241120a5a28
131cb5951b76
141043abc61a
1583859ce52
hex4ea523180

21111124352 has 128 divisors (see below), whose sum is σ = 45627170400. Its totient is φ = 9696706560.

The previous prime is 21111124327. The next prime is 21111124357. The reversal of 21111124352 is 25342111112.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21111124357) 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 15 ways as a sum of consecutive naturals, for example, 19243868 + ... + 19244964.

Almost surely, 221111124352 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 21111124352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22813585200).

21111124352 is an abundant number, since it is smaller than the sum of its proper divisors (24516046048).

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

21111124352 is a wasteful number, since it uses less digits than its factorization.

21111124352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 1352 counting only the distinct ones).

The product of its digits is 480, while the sum is 23.

Adding to 21111124352 its reverse (25342111112), we get a palindrome (46453235464).

The spelling of 21111124352 in words is "twenty-one billion, one hundred eleven million, one hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 41 64 76 82 128 152 164 193 304 328 386 608 656 772 779 1097 1216 1312 1544 1558 2194 2432 2624 3088 3116 3667 4388 5248 6176 6232 7334 7913 8776 12352 12464 14668 15826 17552 20843 24704 24928 29336 31652 35104 41686 44977 49856 58672 63304 70208 83372 89954 99712 117344 126608 140416 150347 166744 179908 211721 234688 253216 300694 333488 359816 423442 469376 506432 601388 666976 719632 846884 854563 1012864 1202776 1333952 1439264 1693768 1709126 2405552 2667904 2878528 3387536 3418252 4022699 4811104 5757056 6775072 6836504 8045398 8680561 9622208 13550144 13673008 16090796 17361122 19244416 27100288 27346016 32181592 34722244 54692032 64363184 69444488 109384064 128726368 138888976 164930659 257452736 277777952 329861318 514905472 555555904 659722636 1111111808 1319445272 2638890544 5277781088 10555562176 21111124352