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2121011100 = 22325213181283
BaseRepresentation
bin111111001101100…
…0000111110011100
312110211001112020200
41332123000332130
513320434323400
6550244343500
7103363203555
oct17633007634
95424045220
102121011100
1199928a03a
124b23a4b90
1327a566570
1416199932c
15c6317b00
hex7e6c0f9c

2121011100 has 108 divisors (see below), whose sum is σ = 7159630296. Its totient is φ = 522092160.

The previous prime is 2121011099. The next prime is 2121011111. The reversal of 2121011100 is 11101212.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 78942 + ... + 102341.

Almost surely, 22121011100 is an apocalyptic number.

2121011100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121011100 is an abundant number, since it is smaller than the sum of its proper divisors (5038619196).

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

2121011100 is a wasteful number, since it uses less digits than its factorization.

2121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181316 (or 181306 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2121011100 is about 46054.4362683987. The cubic root of 2121011100 is about 1284.8358534088.

Adding to 2121011100 its reverse (11101212), we get a palindrome (2132112312).

The spelling of 2121011100 in words is "two billion, one hundred twenty-one million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 30 36 39 45 50 52 60 65 75 78 90 100 117 130 150 156 180 195 225 234 260 300 325 390 450 468 585 650 780 900 975 1170 1300 1950 2340 2925 3900 5850 11700 181283 362566 543849 725132 906415 1087698 1631547 1812830 2175396 2356679 2719245 3263094 3625660 4532075 4713358 5438490 6526188 7070037 8157735 9064150 9426716 10876980 11783395 13596225 14140074 16315470 18128300 21210111 23566790 27192450 28280148 32630940 35350185 40788675 42420222 47133580 54384900 58916975 70700370 81577350 84840444 106050555 117833950 141400740 163154700 176750925 212101110 235667900 353501850 424202220 530252775 707003700 1060505550 2121011100