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101102222211012 = 223411170331665451
BaseRepresentation
bin10110111111001110110010…
…000010100111011111000100
3111020222021111200212022110000
4112333032302002213133010
5101222424322341223022
6555005415242001300
730203252213304141
oct2677166202473704
9436867450768400
10101102222211012
112a23a2367881a0
12b40a3557a6230
134454b8b42b479
141ad75334993c8
15ba4d7a3c86ac
hex5bf3b20a77c4

101102222211012 has 120 divisors (see below), whose sum is σ = 288345660416352. Its totient is φ = 30635219952000.

The previous prime is 101102222210971. The next prime is 101102222211091. The reversal of 101102222211012 is 210112222201101.

101102222211012 is a `hidden beast` number, since 10 + 110 + 222 + 221 + 101 + 2 = 666.

101102222211012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59872887 + ... + 61538337.

Almost surely, 2101102222211012 is an apocalyptic number.

101102222211012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101102222211012 is an abundant number, since it is smaller than the sum of its proper divisors (187243438205340).

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

101102222211012 is a wasteful number, since it uses less digits than its factorization.

101102222211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682511 (or 1682500 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101102222211012 its reverse (210112222201101), we get a palindrome (311214444412113).

The spelling of 101102222211012 in words is "one hundred one trillion, one hundred two billion, two hundred twenty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 594 891 1188 1782 3564 17033 34066 51099 68132 102198 153297 187363 204396 306594 374726 459891 562089 613188 749452 919782 1124178 1379673 1665451 1686267 1839564 2248356 2759346 3330902 3372534 4996353 5058801 5518692 6661804 6745068 9992706 10117602 14989059 15176403 18319961 19985412 20235204 29978118 30352806 36639922 44967177 54959883 59956236 60705612 73279844 89934354 109919766 134901531 164879649 179868708 219839532 269803062 329759298 494638947 539606124 659518596 989277894 1483916841 1978555788 2967833682 5935667364 28367626883 56735253766 85102880649 113470507532 170205761298 255308641947 312043895713 340411522596 510617283894 624087791426 765925925841 936131687139 1021234567788 1248175582852 1531851851682 1872263374278 2297777777523 2808395061417 3063703703364 3744526748556 4595555555046 5616790122834 8425185184251 9191111110092 11233580245668 16850370368502 25275555552753 33700740737004 50551111105506 101102222211012