Search a number
-
+
32201221120032 = 2534710766699023
BaseRepresentation
bin1110101001001011011100…
…10110001010000000100000
311020000101222110120121201110
413110211232112022000200
513210041100101320112
6152253011535103320
76532314164242056
oct724455626120040
9136011873517643
1032201221120032
11a295508924648
12374098b971b40
1314c773cca0103
147d47941881d6
153ac96353913c
hex1d496e58a020

32201221120032 has 96 divisors (see below), whose sum is σ = 87133470584832. Its totient is φ = 10407181800704.

The previous prime is 32201221120021. The next prime is 32201221120037. The reversal of 32201221120032 is 23002112210223.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 32201221119990 and 32201221120008.

It is not an unprimeable number, because it can be changed into a prime (32201221120037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32866728 + ... + 33832295.

It is an arithmetic number, because the mean of its divisors is an integer number (907640318592).

Almost surely, 232201221120032 is an apocalyptic number.

32201221120032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

32201221120032 is an abundant number, since it is smaller than the sum of its proper divisors (54932249464800).

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

32201221120032 is a wasteful number, since it uses less digits than its factorization.

32201221120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66699190 (or 66699182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 32201221120032 its reverse (23002112210223), we get a palindrome (55203333330255).

The spelling of 32201221120032 in words is "thirty-two trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 107 141 188 214 282 321 376 428 564 642 752 856 1128 1284 1504 1712 2256 2568 3424 4512 5029 5136 10058 10272 15087 20116 30174 40232 60348 80464 120696 160928 241392 482784 66699023 133398046 200097069 266796092 400194138 533592184 800388276 1067184368 1600776552 2134368736 3134854081 3201553104 6269708162 6403106208 7136795461 9404562243 12539416324 14273590922 18809124486 21410386383 25078832648 28547181844 37618248972 42820772766 50157665296 57094363688 75236497944 85641545532 100315330592 114188727376 150472995888 171283091064 228377454752 300945991776 335429386667 342566182128 670858773334 685132364256 1006288160001 1341717546668 2012576320002 2683435093336 4025152640004 5366870186672 8050305280008 10733740373344 16100610560016 32201221120032