Search a number
-
+
132121223020304 = 24719591052322727
BaseRepresentation
bin11110000010100111011110…
…100100001011111100010000
3122022210122222012100121200122
4132002213132210023330100
5114304133231043122204
61144555352453005412
736554305033656020
oct3602473644137420
9568718865317618
10132121223020304
1139109329002411
1212999b8a323868
135894c934c816b
14248a9b6597a80
151041b99ab30be
hex7829de90bf10

132121223020304 has 80 divisors (see below), whose sum is σ = 313171243852800. Its totient is φ = 52733996445312.

The previous prime is 132121223020279. The next prime is 132121223020393. The reversal of 132121223020304 is 403020322121231.

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 15 ways as a sum of consecutive naturals, for example, 526035812 + ... + 526286915.

It is an arithmetic number, because the mean of its divisors is an integer number (3914640548160).

Almost surely, 2132121223020304 is an apocalyptic number.

132121223020304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132121223020304 is an abundant number, since it is smaller than the sum of its proper divisors (181050020832496).

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

132121223020304 is a wasteful number, since it uses less digits than its factorization.

132121223020304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052322820 (or 1052322814 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 132121223020304 its reverse (403020322121231), we get a palindrome (535141545141535).

The spelling of 132121223020304 in words is "one hundred thirty-two trillion, one hundred twenty-one billion, two hundred twenty-three million, twenty thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 59 76 112 118 133 152 236 266 304 413 472 532 826 944 1064 1121 1652 2128 2242 3304 4484 6608 7847 8968 15694 17936 31388 62776 125552 1052322727 2104645454 4209290908 7366259089 8418581816 14732518178 16837163632 19994131813 29465036356 39988263626 58930072712 62087040893 79976527252 117860145424 124174081786 139958922691 159953054504 248348163572 279917845382 319906109008 434609286251 496696327144 559835690764 869218572502 993392654288 1119671381528 1179653776967 1738437145004 2239342763056 2359307553934 3476874290008 4718615107868 6953748580016 8257576438769 9437230215736 16515152877538 18874460431472 33030305755076 66060611510152 132121223020304