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2020112100 = 2232528327043
BaseRepresentation
bin111100001101000…
…0111011011100100
312012210012022211200
41320122013123210
513114122041400
6532242002500
7101026445436
oct17032073344
95183168750
102020112100
11947334136
12484646430
13262699806
14152412656
15bc536b00
hex786876e4

2020112100 has 108 divisors (see below), whose sum is σ = 6408454416. Its totient is φ = 532186560.

The previous prime is 2020112099. The next prime is 2020112113. The reversal of 2020112100 is 12110202.

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

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, 61179 + ... + 88221.

Almost surely, 22020112100 is an apocalyptic number.

2020112100 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 2020112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204227208).

2020112100 is an abundant number, since it is smaller than the sum of its proper divisors (4388342316).

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

2020112100 is a wasteful number, since it uses less digits than its factorization.

2020112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27146 (or 27136 counting only the distinct ones).

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

The square root of 2020112100 is about 44945.6571873190. The cubic root of 2020112100 is about 1264.1302483217.

Adding to 2020112100 its reverse (12110202), we get a palindrome (2032222302).

The spelling of 2020112100 in words is "two billion, twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 83 90 100 150 166 180 225 249 300 332 415 450 498 747 830 900 996 1245 1494 1660 2075 2490 2988 3735 4150 4980 6225 7470 8300 12450 14940 18675 24900 27043 37350 54086 74700 81129 108172 135215 162258 243387 270430 324516 405645 486774 540860 676075 811290 973548 1216935 1352150 1622580 2028225 2244569 2433870 2704300 4056450 4489138 4867740 6084675 6733707 8112900 8978276 11222845 12169350 13467414 20201121 22445690 24338700 26934828 33668535 40402242 44891380 56114225 67337070 80804484 101005605 112228450 134674140 168342675 202011210 224456900 336685350 404022420 505028025 673370700 1010056050 2020112100