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2421420100 = 22521112717333
BaseRepresentation
bin1001000001010011…
…1111000001000100
320020202022212220221
42100110333001010
514424340420400
61040135234124
7114001505551
oct22024770104
96222285827
102421420100
111032912840
12576b18944
132c7878578
1418d837a28
15e28a7c1a
hex9053f044

2421420100 has 72 divisors (see below), whose sum is σ = 5777630208. Its totient is φ = 873532800.

The previous prime is 2421420083. The next prime is 2421420101. The reversal of 2421420100 is 10241242.

It is not an unprimeable number, because it can be changed into a prime (2421420101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131034 + ... + 148366.

It is an arithmetic number, because the mean of its divisors is an integer number (80244864).

Almost surely, 22421420100 is an apocalyptic number.

2421420100 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 2421420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2888815104).

2421420100 is an abundant number, since it is smaller than the sum of its proper divisors (3356210108).

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

2421420100 is a wasteful number, since it uses less digits than its factorization.

2421420100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17485 (or 17478 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2421420100 is about 49207.9272069044. The cubic root of 2421420100 is about 1342.8372533108.

Adding to 2421420100 its reverse (10241242), we get a palindrome (2431661342).

The spelling of 2421420100 in words is "two billion, four hundred twenty-one million, four hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 127 220 254 275 508 550 635 1100 1270 1397 2540 2794 3175 5588 6350 6985 12700 13970 17333 27940 34666 34925 69332 69850 86665 139700 173330 190663 346660 381326 433325 762652 866650 953315 1733300 1906630 2201291 3813260 4402582 4766575 8805164 9533150 11006455 19066300 22012910 24214201 44025820 48428402 55032275 96856804 110064550 121071005 220129100 242142010 484284020 605355025 1210710050 2421420100