Search a number
-
+
4212223301 = 1113313761421
BaseRepresentation
bin1111101100010001…
…0110110101000101
3101212120001010002102
43323010112311011
532111312121201
61533550321445
7206245210256
oct37304266505
911776033072
104212223301
111871765790
129967b9285
13521898530
142bd5d8b2d
15199be626b
hexfb116d45

4212223301 has 64 divisors (see below), whose sum is σ = 5344991232. Its totient is φ = 3265920000.

The previous prime is 4212223271. The next prime is 4212223303. The reversal of 4212223301 is 1033222124.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-4212223301 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4212223303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10005071 + ... + 10005491.

It is an arithmetic number, because the mean of its divisors is an integer number (83515488).

Almost surely, 24212223301 is an apocalyptic number.

It is an amenable number.

4212223301 is a deficient number, since it is larger than the sum of its proper divisors (1132767931).

4212223301 is a wasteful number, since it uses less digits than its factorization.

4212223301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4212223301 is about 64901.6432842806. The cubic root of 4212223301 is about 1614.9923224561.

Adding to 4212223301 its reverse (1033222124), we get a palindrome (5245445425).

The spelling of 4212223301 in words is "four billion, two hundred twelve million, two hundred twenty-three thousand, three hundred one".

Divisors: 1 11 13 31 37 61 143 341 403 407 421 481 671 793 1147 1891 2257 4433 4631 5291 5473 8723 12617 13051 14911 15577 20801 24583 24827 25681 29341 60203 69967 143561 164021 169663 171347 202501 270413 282491 322751 333853 482887 769637 796111 909571 950197 1866293 2227511 3672383 5311757 6277531 8757221 10005281 10349443 10452167 12352561 29456107 69052841 113843873 135878171 324017177 382929391 4212223301