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32220104103132 = 223112732571182781
BaseRepresentation
bin1110101001101110100111…
…10111000001010011011100
311020002012201110020112211220
413110313103313001103130
513210343233122300012
6152305413403013340
76533553134036661
oct724672367012334
9136065643215756
1032220104103132
11a2a2518876300
12374457b80a250
1314c945c1196aa
147d5665d81a68
153ad1bb1ac08c
hex1d4dd3dc14dc

32220104103132 has 144 divisors (see below), whose sum is σ = 84094153767456. Its totient is φ = 9592440422400.

The previous prime is 32220104103113. The next prime is 32220104103139. The reversal of 32220104103132 is 23130140102223.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32220104103139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26649582 + ... + 27832362.

Almost surely, 232220104103132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32220104103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42047076883728).

32220104103132 is an abundant number, since it is smaller than the sum of its proper divisors (51874049664324).

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

32220104103132 is a wasteful number, since it uses less digits than its factorization.

32220104103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183140 (or 1183127 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 32220104103132 its reverse (23130140102223), we get a palindrome (55350244205355).

The spelling of 32220104103132 in words is "thirty-two trillion, two hundred twenty billion, one hundred four million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 121 132 146 219 242 257 292 363 438 484 514 726 771 803 876 1028 1452 1542 1606 2409 2827 3084 3212 4818 5654 8481 8833 9636 11308 16962 17666 18761 26499 31097 33924 35332 37522 52998 56283 62194 75044 93291 105996 112566 124388 186582 206371 225132 373164 412742 619113 825484 1182781 1238226 2270081 2365562 2476452 3548343 4540162 4731124 6810243 7096686 9080324 13010591 13620486 14193372 26021182 27240972 39031773 52042364 78063546 86343013 143116501 156127092 172686026 259029039 286233002 303974717 345372052 429349503 518058078 572466004 607949434 858699006 911924151 949773143 1036116156 1215898868 1717398012 1823848302 1899546286 2849319429 3343721887 3647696604 3799092572 5698638858 6687443774 10031165661 10447504573 11397277716 13374887548 20062331322 20895009146 22190154341 31342513719 36780940757 40124662644 41790018292 44380308682 62685027438 66570463023 73561881514 88760617364 110342822271 125370054876 133140926046 147123763028 220685644542 244091697751 266281852092 441371289084 488183395502 732275093253 976366791004 1464550186506 2685008675261 2929100373012 5370017350522 8055026025783 10740034701044 16110052051566 32220104103132