Search a number
-
+
2211311303322 = 23111922729326513
BaseRepresentation
bin100000001011011100011…
…011001011101010011010
321211101210002100021120120
4200023130123023222122
5242212231143201242
64411510135334110
7315522232642542
oct40133433135232
97741702307516
102211311303322
117828a2644650
122b8697821336
131306ab135824
1479056d18322
153c7c44d41ec
hex202dc6cba9a

2211311303322 has 128 divisors (see below), whose sum is σ = 5118584970240. Its totient is φ = 629848765440.

The previous prime is 2211311303317. The next prime is 2211311303339. The reversal of 2211311303322 is 2233031131122.

It is a junction number, because it is equal to n+sod(n) for n = 2211311303292 and 2211311303301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83391538 + ... + 83418050.

It is an arithmetic number, because the mean of its divisors is an integer number (39988945080).

Almost surely, 22211311303322 is an apocalyptic number.

2211311303322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211311303322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559292485120).

2211311303322 is an abundant number, since it is smaller than the sum of its proper divisors (2907273666918).

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

2211311303322 is a wasteful number, since it uses less digits than its factorization.

2211311303322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27068.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 2211311303322 its reverse (2233031131122), we get a palindrome (4444342434444).

The spelling of 2211311303322 in words is "two trillion, two hundred eleven billion, three hundred eleven million, three hundred three thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 227 293 418 454 586 627 681 879 1254 1362 1758 2497 3223 4313 4994 5567 6446 7491 8626 9669 11134 12939 14982 16701 19338 25878 26513 33402 47443 53026 61237 66511 79539 94886 122474 133022 142329 159078 183711 199533 284658 291643 367422 399066 503747 583286 731621 874929 1007494 1263709 1463242 1511241 1749858 2194863 2527418 3022482 3791127 4389726 5541217 6018451 7582254 7768309 11082434 12036902 13900799 15536618 16623651 18055353 23304927 27801598 33247302 36110706 41702397 46609854 66202961 83404794 85451399 114350569 132405922 147597871 170902798 198608883 228701138 256354197 295195742 343051707 397217766 442793613 512708394 686103414 885587226 1257856259 1623576581 1763406143 2515712518 3247153162 3526812286 3773568777 4870729743 5290218429 7547137554 9741459486 10580436858 19397467573 33504716717 38794935146 58192402719 67009433434 100514150151 116384805438 201028300302 368551883887 737103767774 1105655651661 2211311303322