Search a number
-
+
100220222201022 = 23271127114392399
BaseRepresentation
bin10110110010011001010110…
…101111100101110010111110
3111010211221220121020110112100
4112302121112233211302332
5101114002003340413042
6553052311240445530
730052446351024450
oct2662312657456276
9433757817213470
10100220222201022
1129a2a180773300
12b2a74257798a6
1343bc959b9b231
141aa69828da2d0
15b8be5825224c
hex5b2656be5cbe

100220222201022 has 144 divisors (see below), whose sum is σ = 272782487577600. Its totient is φ = 26030578923360.

The previous prime is 100220222201017. The next prime is 100220222201063. The reversal of 100220222201022 is 220102222022001.

100220222201022 is a `hidden beast` number, since 1 + 0 + 0 + 220 + 222 + 201 + 0 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100220222200986 and 100220222201004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1084599979 + ... + 1084692377.

It is an arithmetic number, because the mean of its divisors is an integer number (1894322830400).

Almost surely, 2100220222201022 is an apocalyptic number.

100220222201022 is an abundant number, since it is smaller than the sum of its proper divisors (172562265376578).

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

100220222201022 is a wasteful number, since it uses less digits than its factorization.

100220222201022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163579 (or 163565 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100220222201022 its reverse (220102222022001), we get a palindrome (320322444223023).

The spelling of 100220222201022 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty-two million, two hundred one thousand, twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 15246 71143 92399 142286 184798 213429 277197 426858 498001 554394 640287 646793 782573 831591 996002 1016389 1280574 1293586 1494003 1565146 1663182 1940379 2032778 2347719 2988006 3049167 3880758 4482009 4695438 5478011 5821137 6098334 7043157 7114723 8608303 8964018 9147501 10956022 11180279 11642274 14086314 14229446 16434033 17216606 18295002 21344169 22360558 25824909 32868066 33540837 42688338 49302099 51649818 60258121 64032507 67081674 77474727 78261953 98604198 100622511 120516242 128065014 154949454 156523906 180774363 201245022 234785859 361548726 469571718 542323089 704357577 1084646178 1408715154 6573542057 13147084114 19720626171 39441252342 46014794399 59161878513 72308962627 92029588798 118323757026 138044383197 144617925254 216926887881 276088766394 414133149591 433853775762 506162738389 650780663643 795398588897 828266299182 1012325476778 1301561327286 1518488215167 1590797177794 2386195766691 3036976430334 4555464645501 4772391533382 5567790122279 7158587300073 9110929291002 11135580244558 14317174600146 16703370366837 33406740733674 50110111100511 100220222201022