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2112010200 = 23355243457
BaseRepresentation
bin111110111100010…
…1011011111011000
312110012010020100000
41331320223133120
513311133311300
6545323413000
7103223535066
oct17570533730
95405106300
102112010200
119941a1583
124ab384160
132787346a1
141606d5036
15c563ac00
hex7de2b7d8

2112010200 has 144 divisors (see below), whose sum is σ = 7355701080. Its totient is φ = 563189760.

The previous prime is 2112010193. The next prime is 2112010211. The reversal of 2112010200 is 20102112.

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, 26872 + ... + 70328.

Almost surely, 22112010200 is an apocalyptic number.

2112010200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677850540).

2112010200 is an abundant number, since it is smaller than the sum of its proper divisors (5243690880).

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

2112010200 is a wasteful number, since it uses less digits than its factorization.

2112010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43488 (or 43467 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2112010200 is about 45956.6121466759. The cubic root of 2112010200 is about 1283.0157974527.

Adding to 2112010200 its reverse (20102112), we get a palindrome (2132112312).

The spelling of 2112010200 in words is "two billion, one hundred twelve million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 243 270 300 324 360 405 450 486 540 600 648 675 810 900 972 1080 1215 1350 1620 1800 1944 2025 2430 2700 3240 4050 4860 5400 6075 8100 9720 12150 16200 24300 43457 48600 86914 130371 173828 217285 260742 347656 391113 434570 521484 651855 782226 869140 1042968 1086425 1173339 1303710 1564452 1738280 1955565 2172850 2346678 2607420 3128904 3259275 3520017 3911130 4345700 4693356 5214840 5866695 6518550 7040034 7822260 8691400 9386712 9777825 10560051 11733390 13037100 14080068 15644520 17600085 19555650 21120102 23466780 26074200 28160136 29333475 35200170 39111300 42240204 46933560 52800255 58666950 70400340 78222600 84480408 88000425 105600510 117333900 140800680 176000850 211201020 234667800 264001275 352001700 422402040 528002550 704003400 1056005100 2112010200