Search a number
-
+
204220321243032 = 23341271869988037
BaseRepresentation
bin101110011011110010111111…
…101101000001111110011000
3222210002021100022121112211210
4232123302333231001332120
5203231421204214234112
62002201304224223120
761005300640065303
oct5633627755017630
9883067308545753
10204220321243032
115a086396368846
121aaa332446aaa0
1389c4b804a9333
14386045dc6db3a
15189238c542b3c
hexb9bcbfb41f98

204220321243032 has 128 divisors (see below), whose sum is σ = 524999470464000. Its totient is φ = 66159687859200.

The previous prime is 204220321243019. The next prime is 204220321243121. The reversal of 204220321243032 is 230342123022402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2319666118 + ... + 2319754154.

It is an arithmetic number, because the mean of its divisors is an integer number (4101558363000).

Almost surely, 2204220321243032 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 204220321243032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262499735232000).

204220321243032 is an abundant number, since it is smaller than the sum of its proper divisors (320779149220968).

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

204220321243032 is a wasteful number, since it uses less digits than its factorization.

204220321243032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97057 (or 97053 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 204220321243032 its reverse (230342123022402), we get a palindrome (434562444265434).

The spelling of 204220321243032 in words is "two hundred four trillion, two hundred twenty billion, three hundred twenty-one million, two hundred forty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 271 328 492 542 813 984 1084 1626 2168 3252 6504 8699 11111 17398 22222 26097 33333 34796 44444 52194 66666 69592 88037 88888 104388 133332 176074 208776 264111 266664 352148 356659 528222 704296 713318 1056444 1069977 1426636 2112888 2139954 2357429 2853272 3609517 4279908 4714858 7072287 7219034 8559816 9429716 10828551 14144574 14438068 18859432 21657102 23858027 28289148 28876136 43314204 47716054 56578296 71574081 86628408 95432108 96654589 143148162 190864216 193309178 286296324 289963767 386618356 572592648 579927534 765833863 773236712 978179107 1159855068 1531667726 1956358214 2297501589 2319710136 2934537321 3063335452 3912716428 4595003178 5869074642 6126670904 7825432856 9190006356 11738149284 18380012712 23476298568 31399188383 62798376766 94197565149 125596753532 188395130298 207540976873 251193507064 376790260596 415081953746 622622930619 753580521192 830163907492 1245245861238 1660327814984 2490491722476 4980983444952 8509180051793 17018360103586 25527540155379 34036720207172 51055080310758 68073440414344 102110160621516 204220321243032