Search a number
-
+
4221442130301 = 32112354112832671
BaseRepresentation
bin111101011011100001100…
…011110000000101111101
3112221120021120010110112200
4331123201203300011331
51023131003141132201
612551145335222113
7613663162026414
oct75334143600575
915846246113480
104221442130301
111388338036710
12582188517939
13248107502376
1410846706447b
1574c21ab3386
hex3d6e18f017d

4221442130301 has 96 divisors (see below), whose sum is σ = 6962041442304. Its totient is φ = 2439871632000.

The previous prime is 4221442130299. The next prime is 4221442130303. The reversal of 4221442130301 is 1030312441224.

4221442130301 is a `hidden beast` number, since 4 + 2 + 2 + 144 + 213 + 0 + 301 = 666.

It is an interprime number because it is at equal distance from previous prime (4221442130299) and next prime (4221442130303).

It is not a de Polignac number, because 4221442130301 - 21 = 4221442130299 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221442130303) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 1580471196 + ... + 1580473866.

It is an arithmetic number, because the mean of its divisors is an integer number (72521265024).

Almost surely, 24221442130301 is an apocalyptic number.

It is an amenable number.

4221442130301 is a deficient number, since it is larger than the sum of its proper divisors (2740599312003).

4221442130301 is a wasteful number, since it uses less digits than its factorization.

4221442130301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4532 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4221442130301 its reverse (1030312441224), we get a palindrome (5251754571525).

The spelling of 4221442130301 in words is "four trillion, two hundred twenty-one billion, four hundred forty-two million, one hundred thirty thousand, three hundred one".

Divisors: 1 3 9 11 23 33 69 99 207 253 541 759 1283 1623 2277 2671 3849 4869 5951 8013 11547 12443 14113 17853 24039 29381 29509 37329 42339 53559 61433 88143 88527 111987 127017 136873 184299 264429 265581 324599 410619 552897 675763 694103 973797 1231857 1445011 2027289 2082309 2921391 3426893 4335033 6081867 6246927 7635133 10280679 13005099 15895121 15964369 22905399 30842037 33235253 37695823 47685363 47893107 68716197 78818539 99705759 113087469 143056089 143679321 175608059 236455617 299117277 339262407 365587783 526824177 709366851 867003929 1096763349 1580472531 1853949113 2601011787 3290290047 5561847339 7803035361 16685542017 20393440243 42640829599 61180320729 127922488797 183540962187 383767466391 469049125589 1407147376767 4221442130301