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21120112001010 = 23511163540772617
BaseRepresentation
bin1001100110101011010001…
…10001011111111111110010
32202210001200220210210010210
410303111220301133333302
510232012442133013020
6112530240121404550
74306610030650611
oct463255061377762
982701626723123
1021120112001010
116802a97696070
122451276939756
13ba2805a1ca09
1453030c843878
152695b13283e0
hex133568c5fff2

21120112001010 has 128 divisors (see below), whose sum is σ = 55646590132224. Its totient is φ = 5087604764160.

The previous prime is 21120112000961. The next prime is 21120112001029. The reversal of 21120112001010 is 1010021102112.

It is a Curzon number.

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, 290806222 + ... + 290878838.

It is an arithmetic number, because the mean of its divisors is an integer number (434738985408).

Almost surely, 221120112001010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21120112001010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27823295066112).

21120112001010 is an abundant number, since it is smaller than the sum of its proper divisors (34526478131214).

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

21120112001010 is a wasteful number, since it uses less digits than its factorization.

21120112001010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78208.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21120112001010 its reverse (1010021102112), we get a palindrome (22130133103122).

The spelling of 21120112001010 in words is "twenty-one trillion, one hundred twenty billion, one hundred twelve million, one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 163 165 326 330 489 815 978 1630 1793 2445 3586 4890 5379 5407 8965 10758 10814 16221 17930 26895 27035 32442 53790 54070 59477 72617 81105 118954 145234 162210 178431 217851 297385 356862 363085 435702 594770 726170 798787 881341 892155 1089255 1597574 1762682 1784310 2178510 2396361 2644023 3993935 4406705 4792722 5288046 7987870 8813410 9694751 11836571 11981805 13220115 19389502 23673142 23963610 26440230 29084253 35509713 48473755 58168506 59182855 71019426 96947510 118365710 130202281 145421265 177548565 260404562 290842530 355097130 390606843 392640119 651011405 781213686 785280238 1177920357 1302022810 1953034215 1963200595 2355840714 3906068430 3926401190 4319041309 5889601785 8638082618 11779203570 12957123927 21595206545 25914247854 43190413090 64000339397 64785619635 128000678794 129571239270 192001018191 320001696985 384002036382 640003393970 704003733367 960005090955 1408007466734 1920010181910 2112011200101 3520018666835 4224022400202 7040037333670 10560056000505 21120112001010