Search a number
-
+
31224421310214 = 23117160531100833
BaseRepresentation
bin1110001100110000000001…
…00010100101111100000110
311002120000200121101222010110
413012120000202211330012
513043040103323411324
6150224145013133450
76401614160661336
oct706300042457406
9132500617358113
1031224421310214
119a492258a0a50
12360360362a286
1314565b13b6472
1479d3ad0610c6
15392343978329
hex1c66008a5f06

31224421310214 has 64 divisors (see below), whose sum is σ = 69097007605248. Its totient is φ = 9327129369600.

The previous prime is 31224421310209. The next prime is 31224421310227. The reversal of 31224421310214 is 41201312442213.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27813942 + ... + 28914774.

It is an arithmetic number, because the mean of its divisors is an integer number (1079640743832).

Almost surely, 231224421310214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31224421310214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34548503802624).

31224421310214 is an abundant number, since it is smaller than the sum of its proper divisors (37872586295034).

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

31224421310214 is a wasteful number, since it uses less digits than its factorization.

31224421310214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106973.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 31224421310214 its reverse (41201312442213), we get a palindrome (72425733752427).

The spelling of 31224421310214 in words is "thirty-one trillion, two hundred twenty-four billion, four hundred twenty-one million, three hundred ten thousand, two hundred fourteen".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 6053 12106 18159 36318 66583 133166 199749 399498 429763 859526 1100833 1289289 2201666 2578578 3302499 4727393 6604998 9454786 12109163 14182179 24218326 28364358 36327489 72654978 78159143 156318286 234477429 468954858 859750573 1719501146 2579251719 5158503438 6663342149 13326684298 19990026447 39980052894 73296763639 146593527278 219890290917 439780581834 473097292579 946194585158 1419291877737 2838583755474 5204070218369 10408140436738 15612210655107 31224421310214