Search a number
-
+
41220330221133 = 347145949827961
BaseRepresentation
bin10010101111101010110110…
…01000111110111001001101
312101221121212200112100210000
421113311123020332321031
520400323214014034013
6223400205220034513
711453033131552350
oct1127653310767115
9171847780470700
1041220330221133
1112152497886208
124758939232a39
131a000a2aa96cb
14a27108ac8297
154b737e651973
hex257d5b23ee4d

41220330221133 has 40 divisors (see below), whose sum is σ = 70420862135360. Its totient is φ = 23538329680320.

The previous prime is 41220330221131. The next prime is 41220330221137. The reversal of 41220330221133 is 33112203302214.

41220330221133 is a `hidden beast` number, since 4 + 1 + 2 + 203 + 302 + 21 + 133 = 666.

It is not a de Polignac number, because 41220330221133 - 21 = 41220330221131 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 41220330221097 and 41220330221106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41220330221131) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24086728 + ... + 25741233.

It is an arithmetic number, because the mean of its divisors is an integer number (1760521553384).

Almost surely, 241220330221133 is an apocalyptic number.

It is an amenable number.

41220330221133 is a deficient number, since it is larger than the sum of its proper divisors (29200531914227).

41220330221133 is a wasteful number, since it uses less digits than its factorization.

41220330221133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49829439 (or 49829430 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 41220330221133 its reverse (33112203302214), we get a palindrome (74332533523347).

The spelling of 41220330221133 in words is "forty-one trillion, two hundred twenty billion, three hundred thirty million, two hundred twenty-one thousand, one hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 1459 4377 10213 13131 30639 39393 91917 118179 275751 827253 49827961 149483883 348795727 448451649 1046387181 1345354947 3139161543 4036064841 9417484629 28252453887 72698995099 218096985297 508892965693 654290955891 1526678897079 1962872867673 4580036691237 5888618603019 13740110073711 41220330221133