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2421301000 = 23535941039
BaseRepresentation
bin1001000001010010…
…0001111100001000
320020202002211112211
42100110201330020
514424323113000
61040132514504
7114000501406
oct22024417410
96222084484
102421301000
111032841308
12576a7ba34
132c78362b1
1418d806476
15e28827ba
hex90521f08

2421301000 has 64 divisors (see below), whose sum is σ = 5762016000. Its totient is φ = 952081600.

The previous prime is 2421300971. The next prime is 2421301013. The reversal of 2421301000 is 1031242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38481 + ... + 79519.

It is an arithmetic number, because the mean of its divisors is an integer number (90031500).

Almost surely, 22421301000 is an apocalyptic number.

2421301000 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 2421301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881008000).

2421301000 is an abundant number, since it is smaller than the sum of its proper divisors (3340715000).

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

2421301000 is a wasteful number, since it uses less digits than its factorization.

2421301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41119 (or 41105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2421301000 is about 49206.7170211547. The cubic root of 2421301000 is about 1342.8152366797.

Adding to 2421301000 its reverse (1031242), we get a palindrome (2422332242).

The spelling of 2421301000 in words is "two billion, four hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 59 100 118 125 200 236 250 295 472 500 590 1000 1180 1475 2360 2950 5900 7375 11800 14750 29500 41039 59000 82078 164156 205195 328312 410390 820780 1025975 1641560 2051950 2421301 4103900 4842602 5129875 8207800 9685204 10259750 12106505 19370408 20519500 24213010 41039000 48426020 60532525 96852040 121065050 242130100 302662625 484260200 605325250 1210650500 2421301000