Search a number
-
+
10221133341104 = 247175368242301
BaseRepresentation
bin1001010010111100101100…
…0001011010000110110000
31100012010112100121220021222
42110233023001122012300
52314430340113403404
633423305052004212
72103311132623550
oct224571301320660
940163470556258
1010221133341104
113290838341184
121190b10a60668
13591b058a795a
142749c3c33160
1512ad1d8a2dbe
hex94bcb05a1b0

10221133341104 has 40 divisors (see below), whose sum is σ = 23963833636128. Its totient is φ = 4122810086400.

The previous prime is 10221133341103. The next prime is 10221133341113. The reversal of 10221133341104 is 40114333112201.

It is not an unprimeable number, because it can be changed into a prime (10221133341103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2684119247 + ... + 2684123054.

Almost surely, 210221133341104 is an apocalyptic number.

10221133341104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10221133341104 is an abundant number, since it is smaller than the sum of its proper divisors (13742700295024).

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

10221133341104 is a wasteful number, since it uses less digits than its factorization.

10221133341104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5368242333 (or 5368242327 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 10221133341104 its reverse (40114333112201), we get a palindrome (50335466453305).

The spelling of 10221133341104 in words is "ten trillion, two hundred twenty-one billion, one hundred thirty-three million, three hundred forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 5368242301 10736484602 21472969204 37577696107 42945938408 75155392214 85891876816 91260119117 150310784428 182520238234 300621568856 365040476468 601243137712 638820833819 730080952936 1277641667638 1460161905872 2555283335276 5110566670552 10221133341104