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21222200102130 = 23351710457442151
BaseRepresentation
bin1001101001101001011011…
…01100101100110011110010
32210010211012121120122122000
410310310231230230303302
510240201031211232010
6113045202155554430
74320152621334516
oct464645554546362
983124177518560
1021222200102130
116842314772475
122469007a5ba16
13bac325012341
14535234d34146
1526c088a297c0
hex134d2db2ccf2

21222200102130 has 128 divisors (see below), whose sum is σ = 59927371983360. Its totient is φ = 5325834700800.

The previous prime is 21222200102063. The next prime is 21222200102179. The reversal of 21222200102130 is 3120100222212.

21222200102130 is a `hidden beast` number, since 21 + 222 + 200 + 10 + 213 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 47776555 + ... + 48218705.

It is an arithmetic number, because the mean of its divisors is an integer number (468182593620).

Almost surely, 221222200102130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21222200102130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29963685991680).

21222200102130 is an abundant number, since it is smaller than the sum of its proper divisors (38705171881230).

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

21222200102130 is a wasteful number, since it uses less digits than its factorization.

21222200102130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452641 (or 452635 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21222200102130 its reverse (3120100222212), we get a palindrome (24342300324342).

The spelling of 21222200102130 in words is "twenty-one trillion, two hundred twenty-two billion, two hundred million, one hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 510 765 918 1530 2295 4590 10457 20914 31371 52285 62742 94113 104570 156855 177769 188226 282339 313710 355538 442151 470565 533307 564678 884302 888845 941130 1066614 1326453 1411695 1599921 1777690 2210755 2652906 2666535 2823390 3199842 3979359 4421510 4799763 5333070 6632265 7516567 7958718 7999605 9599526 11938077 13264530 15033134 15999210 19896795 22549701 23876154 23998815 37582835 39793590 45099402 47997630 59690385 67649103 75165670 112748505 119380770 135298206 202947309 225497010 338245515 405894618 676491030 1014736545 2029473090 4623573007 9247146014 13870719021 23117865035 27741438042 41612157063 46235730070 69353595105 78600741119 83224314126 124836471189 138707190210 157201482238 208060785315 235802223357 249672942378 393003705595 416121570630 471604446714 624182355945 707406670071 786007411190 1179011116785 1248364711890 1414813340142 2122220010213 2358022233570 3537033350355 4244440020426 7074066700710 10611100051065 21222200102130