Search a number
-
+
121441210401 = 3731139771069
BaseRepresentation
bin111000100011001110…
…1011101000000100001
3102121110110001200111110
41301012131131000201
53442202422213101
6131442254333533
711526266154000
oct1610635350041
9377413050443
10121441210401
11475594408a5
121b6524ba2a9
13b5b49645a4
145c40904c37
15325b78acd6
hex1c4675d021

121441210401 has 64 divisors (see below), whose sum is σ = 190874304000. Its totient is φ = 68646187008.

The previous prime is 121441210367. The next prime is 121441210439. The reversal of 121441210401 is 104012144121.

It is not a de Polignac number, because 121441210401 - 213 = 121441202209 is a prime.

It is a super-3 number, since 3×1214412104013 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (121441211401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113602095 + ... + 113603163.

It is an arithmetic number, because the mean of its divisors is an integer number (2982411000).

Almost surely, 2121441210401 is an apocalyptic number.

It is an amenable number.

121441210401 is a deficient number, since it is larger than the sum of its proper divisors (69433093599).

121441210401 is a wasteful number, since it uses less digits than its factorization.

121441210401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2183 (or 2169 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 121441210401 its reverse (104012144121), we get a palindrome (225453354522).

The spelling of 121441210401 in words is "one hundred twenty-one billion, four hundred forty-one million, two hundred ten thousand, four hundred one".

Divisors: 1 3 7 21 49 113 147 339 343 791 977 1029 1069 2373 2931 3207 5537 6839 7483 16611 20517 22449 38759 47873 52381 110401 116277 120797 143619 157143 331203 335111 362391 366667 772807 845579 1005333 1044413 1100001 2318421 2536737 3133239 5409649 5919053 7310891 16228947 17757159 21932673 37867543 41433371 51176237 113602629 118018669 124300113 153528711 354056007 358233659 826130683 1074700977 2478392049 5782914781 17348744343 40480403467 121441210401