Search a number
-
+
991288130022 = 2342313116712161
BaseRepresentation
bin11100110110011010110…
…00000111100111100110
310111202200120111120120000
432123031120013213212
5112220124230130042
62035220320522130
7131422021036131
oct16331530074746
93452616446500
10991288130022
11352448341053
12140150480346
137262a41b5a8
1435d9b3d5218
151abbba0174c
hexe6cd6079e6

991288130022 has 160 divisors (see below), whose sum is σ = 2349665708544. Its totient is φ = 311746406400.

The previous prime is 991288130009. The next prime is 991288130039. The reversal of 991288130022 is 220031882199.

It is a happy number.

It is a super-4 number, since 4×9912881300224 (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 991288130022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81507622 + ... + 81519782.

Almost surely, 2991288130022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 991288130022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174832854272).

991288130022 is an abundant number, since it is smaller than the sum of its proper divisors (1358377578522).

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

991288130022 is a wasteful number, since it uses less digits than its factorization.

991288130022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12496 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 991288130022 in words is "nine hundred ninety-one billion, two hundred eighty-eight million, one hundred thirty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 69 81 131 138 162 167 207 262 334 393 414 501 621 786 1002 1179 1242 1503 1863 2358 3006 3013 3537 3726 3841 4509 6026 7074 7682 9018 9039 10611 11523 12161 13527 18078 21222 21877 23046 24322 27054 27117 34569 36483 43754 54234 65631 69138 72966 81351 103707 109449 131262 162702 196893 207414 218898 244053 279703 311121 328347 393786 488106 503171 559406 590679 622242 656694 839109 985041 1006342 1181358 1509513 1593091 1678218 1772037 1970082 2030887 2517327 3019026 3186182 3544074 4061774 4528539 4779273 5034654 6092661 7551981 9057078 9558546 12185322 13585617 14337819 15103962 18277983 22655943 27171234 28675638 36555966 36641093 40756851 43013457 45311886 46710401 54833949 73282186 81513702 86026914 93420802 109667898 109923279 129040371 140131203 164501847 219846558 258080742 266046197 280262406 329003694 329769837 420393609 532092394 659539674 798138591 840787218 989309511 1261180827 1596277182 1978619022 2394415773 2522361654 2967928533 3783542481 4788831546 5935857066 6119062531 7183247319 7567084962 12238125062 14366494638 18357187593 21549741957 36714375186 43099483914 55071562779 110143125558 165214688337 330429376674 495644065011 991288130022