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1011210100110 = 23457237775029
BaseRepresentation
bin11101011011100001101…
…00011001110110001110
310120200002222012111220000
432231300310121312032
5113031424241200420
62052313221505130
7133025505013440
oct16556064316616
93520088174800
101011210100110
1135a940815041
12143b902721a6
13744838a5782
1436d2b1a8490
151b4859a7690
hexeb70d19d8e

1011210100110 has 160 divisors (see below), whose sum is σ = 3108813428160. Its totient is φ = 231033420288.

The previous prime is 1011210100079. The next prime is 1011210100129. The reversal of 1011210100110 is 110010121101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1011210100092 and 1011210100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13440076 + ... + 13515104.

It is an arithmetic number, because the mean of its divisors is an integer number (19430083926).

Almost surely, 21011210100110 is an apocalyptic number.

1011210100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011210100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554406714080).

1011210100110 is an abundant number, since it is smaller than the sum of its proper divisors (2097603328050).

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

1011210100110 is a wasteful number, since it uses less digits than its factorization.

1011210100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77432 (or 77423 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1011210100110 its reverse (110010121101), we get a palindrome (1121220221211).

The spelling of 1011210100110 in words is "one trillion, eleven billion, two hundred ten million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2377 2835 4754 5670 7131 11885 14262 16639 21393 23770 33278 35655 42786 49917 64179 71310 75029 83195 99834 106965 128358 149751 150058 166390 192537 213930 225087 249585 299502 320895 375145 385074 449253 450174 499170 525203 641790 675261 748755 750290 898506 962685 1050406 1125435 1347759 1350522 1497510 1575609 1925370 2025783 2246265 2250870 2626015 2695518 3151218 3376305 4051566 4492530 4726827 5252030 6077349 6738795 6752610 7878045 9453654 10128915 12154698 13477590 14180481 15756090 20257830 23634135 28360962 30386745 42541443 47268270 60773490 70902405 85082886 141804810 178343933 212707215 356687866 425414430 535031799 891719665 1070063598 1248407531 1605095397 1783439330 2496815062 2675158995 3210190794 3745222593 4815286191 5350317990 6242037655 7490445186 8025476985 9630572382 11235667779 12484075310 14445858573 16050953970 18726112965 22471335558 24076430955 28891717146 33707003337 37452225930 48152861910 56178338895 67414006674 72229292865 101121010011 112356677790 144458585730 168535016685 202242020022 337070033370 505605050055 1011210100110