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2102043420 = 2233517322501
BaseRepresentation
bin111110101001010…
…1010001100011100
312102111100212111000
41331102222030130
513301110342140
6544330030300
7103043034321
oct17522521434
95374325430
102102043420
11989604374
124a7b78390
13276654c99
1415d25cb48
15c481ca30
hex7d4aa31c

2102043420 has 96 divisors (see below), whose sum is σ = 6577784640. Its totient is φ = 557280000.

The previous prime is 2102043413. The next prime is 2102043431. The reversal of 2102043420 is 243402012.

2102043420 is a `hidden beast` number, since 210 + 2 + 0 + 434 + 20 = 666.

2102043420 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2102043393 and 2102043402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82170 + ... + 104670.

It is an arithmetic number, because the mean of its divisors is an integer number (68518590).

Almost surely, 22102043420 is an apocalyptic number.

2102043420 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 2102043420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288892320).

2102043420 is an abundant number, since it is smaller than the sum of its proper divisors (4475741220).

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

2102043420 is a wasteful number, since it uses less digits than its factorization.

2102043420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22692 (or 22684 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2102043420 is about 45848.0470685503. The cubic root of 2102043420 is about 1280.9943892388.

Adding to 2102043420 its reverse (243402012), we get a palindrome (2345445432).

The spelling of 2102043420 in words is "two billion, one hundred two million, forty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 173 180 270 346 519 540 692 865 1038 1557 1730 2076 2595 3114 3460 4671 5190 6228 7785 9342 10380 15570 18684 22501 23355 31140 45002 46710 67503 90004 93420 112505 135006 202509 225010 270012 337515 405018 450020 607527 675030 810036 1012545 1215054 1350060 2025090 2430108 3037635 3892673 4050180 6075270 7785346 11678019 12150540 15570692 19463365 23356038 35034057 38926730 46712076 58390095 70068114 77853460 105102171 116780190 140136228 175170285 210204342 233560380 350340570 420408684 525510855 700681140 1051021710 2102043420