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21113203330432 = 277113152134039
BaseRepresentation
bin1001100110011110011001…
…11111000000110110000000
32202202101212102220221202201
410303033030333000312000
510231404320023033212
6112523134404522544
74306243601142103
oct463171477006600
982671772827681
1021113203330432
116800071950664
12244ba690b0454
13ba1c74612b65
1452dc5509c73a
15269309a4eb57
hex1333ccfc0d80

21113203330432 has 128 divisors (see below), whose sum is σ = 43063236057600. Its totient is φ = 10308340224000.

The previous prime is 21113203330421. The next prime is 21113203330459. The reversal of 21113203330432 is 23403330231112.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21113203330432.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 620248069 + ... + 620282107.

It is an arithmetic number, because the mean of its divisors is an integer number (336431531700).

Almost surely, 221113203330432 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 21113203330432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21531618028800).

21113203330432 is an abundant number, since it is smaller than the sum of its proper divisors (21950032727168).

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

21113203330432 is a wasteful number, since it uses less digits than its factorization.

21113203330432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34776 (or 34764 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 21113203330432 its reverse (23403330231112), we get a palindrome (44516533561544).

The spelling of 21113203330432 in words is "twenty-one trillion, one hundred thirteen billion, two hundred three million, three hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 71 128 131 142 262 284 521 524 568 1042 1048 1136 2084 2096 2272 4168 4192 4544 8336 8384 9088 9301 16672 16768 18602 33344 34039 36991 37204 66688 68078 68251 73982 74408 136156 136502 147964 148816 272312 273004 295928 297632 544624 546008 591856 595264 1089248 1092016 1183712 1190528 2178496 2184032 2367424 2416769 4356992 4368064 4459109 4734848 4833538 4845821 8736128 8918218 9667076 9691642 17734319 17836436 19334152 19383284 35468638 35672872 38668304 38766568 70937276 71345744 77336608 77533136 141874552 142691488 154673216 155066272 283749104 285382976 309346432 310132544 316596739 567498208 570765952 620265088 633193478 1134996416 1259136649 1266386956 2269992832 2323195789 2518273298 2532773912 4646391578 5036546596 5065547824 9292783156 10073093192 10131095648 18585566312 20146186384 20262191296 37171132624 40292372768 40524382592 74342265248 80584745536 148684530496 161169491072 164946901019 297369060992 329893802038 659787604076 1319575208152 2639150416304 5278300832608 10556601665216 21113203330432