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21100112000988 = 22323237113795001
BaseRepresentation
bin1001100110000110000001…
…01011100011011111011100
32202201011002002021111212020
410303003000223203133130
510231201012133012423
6112513131352140140
74305301305523626
oct463030053433734
982634062244766
1021100112000988
1167a5564167029
122449414997650
13ba0969345087
1452d37255bc16
15268ce05ac4e3
hex1330c0ae37dc

21100112000988 has 144 divisors (see below), whose sum is σ = 53326101113376. Its totient is φ = 6487810560000.

The previous prime is 21100112000959. The next prime is 21100112001013. The reversal of 21100112000988 is 88900021100112.

It is a super-2 number, since 2×211001120009882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26143488 + ... + 26938488.

Almost surely, 221100112000988 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 21100112000988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26663050556688).

21100112000988 is an abundant number, since it is smaller than the sum of its proper divisors (32225989112388).

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

21100112000988 is a wasteful number, since it uses less digits than its factorization.

21100112000988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795204 (or 795179 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 33.

The spelling of 21100112000988 in words is "twenty-one trillion, one hundred billion, one hundred twelve million, nine hundred eighty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 37 46 69 74 92 111 113 138 148 222 226 276 339 444 452 529 678 851 1058 1356 1587 1702 2116 2553 2599 3174 3404 4181 5106 5198 6348 7797 8362 10212 10396 12543 15594 16724 19573 25086 31188 39146 50172 58719 59777 78292 96163 117438 119554 179331 192326 234876 239108 288489 358662 384652 576978 717324 795001 1153956 1590002 2211749 2385003 3180004 4423498 4770006 6635247 8846996 9540012 13270494 18285023 26540988 29415037 36570046 54855069 58830074 73140092 88245111 89835113 109710138 117660148 176490222 179670226 219420276 269505339 352980444 359340452 420555529 539010678 676545851 841111058 1078021356 1261666587 1353091702 1682222116 2029637553 2066207599 2523333174 2706183404 3323899181 4059275106 4132415198 5046666348 6198622797 6647798362 8118550212 8264830396 9971697543 12397245594 13295596724 15560554573 19943395086 24794491188 31121109146 39886790172 46681663719 47522774777 62242218292 76449681163 93363327438 95045549554 142568324331 152899362326 186726654876 190091099108 229349043489 285136648662 305798724652 458698086978 570273297324 917396173956 1758342666749 3516685333498 5275028000247 7033370666996 10550056000494 21100112000988