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21330220333032 = 23321333168848027
BaseRepresentation
bin1001101100110010101000…
…01101001011011111101000
32210112011000201200221100200
410312121110031023133220
510243433242401124112
6113210545024232200
74331025513213432
oct466312415133750
983464021627320
1021330220333032
116884106333776
122485b3376b660
13bb957b2c9430
1453a561207652
1526ecabe08cdc
hex13665434b7e8

21330220333032 has 96 divisors (see below), whose sum is σ = 62401098658080. Its totient is φ = 6543316391040.

The previous prime is 21330220333007. The next prime is 21330220333063. The reversal of 21330220333032 is 23033302203312.

21330220333032 is a `hidden beast` number, since 2 + 1 + 3 + 302 + 20 + 3 + 330 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21330220332987 and 21330220333005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34114198 + ... + 34733829.

It is an arithmetic number, because the mean of its divisors is an integer number (650011444355).

Almost surely, 221330220333032 is an apocalyptic number.

It is an amenable number.

21330220333032 is an abundant number, since it is smaller than the sum of its proper divisors (41070878325048).

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

21330220333032 is a wasteful number, since it uses less digits than its factorization.

21330220333032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68848383 (or 68848376 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 21330220333032 its reverse (23033302203312), we get a palindrome (44363522536344).

The spelling of 21330220333032 in words is "twenty-one trillion, three hundred thirty billion, two hundred twenty million, three hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 331 468 662 936 993 1324 1986 2648 2979 3972 4303 5958 7944 8606 11916 12909 17212 23832 25818 34424 38727 51636 77454 103272 154908 309816 68848027 137696054 206544081 275392108 413088162 550784216 619632243 826176324 895024351 1239264486 1652352648 1790048702 2478528972 2685073053 3580097404 4957057944 5370146106 7160194808 8055219159 10740292212 16110438318 21480584424 22788696937 32220876636 45577393874 64441753272 68366090811 91154787748 136732181622 182309575496 205098272433 273464363244 296253060181 410196544866 546928726488 592506120362 820393089732 888759180543 1185012240724 1640786179464 1777518361086 2370024481448 2666277541629 3555036722172 5332555083258 7110073444344 10665110166516 21330220333032