Search a number
-
+
2002141250420 = 225835412229407
BaseRepresentation
bin11101001000101000111…
…010110000001101110100
321002101212122222122100012
4131020220322300031310
5230300341130003140
64131434311235352
7264435632555453
oct35105072601564
97071778878305
102002141250420
117021155a3a33
12284041078b58
13116a55065c5c
146cc92dd6b9a
1537130e92265
hex1d228eb0374

2002141250420 has 48 divisors (see below), whose sum is σ = 4263020471808. Its totient is φ = 789744781440.

The previous prime is 2002141250413. The next prime is 2002141250509. The reversal of 2002141250420 is 240521412002.

It is a super-2 number, since 2×20021412504202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216644 + ... + 2012763.

It is an arithmetic number, because the mean of its divisors is an integer number (88812926496).

Almost surely, 22002141250420 is an apocalyptic number.

2002141250420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002141250420 is an abundant number, since it is smaller than the sum of its proper divisors (2260879221388).

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

2002141250420 is a wasteful number, since it uses less digits than its factorization.

2002141250420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230040 (or 2230038 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 2002141250420 its reverse (240521412002), we get a palindrome (2242662662422).

The spelling of 2002141250420 in words is "two trillion, two billion, one hundred forty-one million, two hundred fifty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 541 830 1082 1660 2164 2705 5410 10820 44903 89806 179612 224515 449030 898060 2229407 4458814 8917628 11147035 22294070 44588140 185040781 370081562 740163124 925203905 1206109187 1850407810 2412218374 3700815620 4824436748 6030545935 12061091870 24122183740 100107062521 200214125042 400428250084 500535312605 1001070625210 2002141250420