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2420013141 = 3271329101891
BaseRepresentation
bin1001000000111110…
…0111100001010101
320020122200101221100
42100033213201111
514424010410031
61040045140313
7113653525620
oct22017474125
96218611840
102420013141
111032041767
1257655a699
132c74a5050
1418d58cdb7
15e26cade6
hex903e7855

2420013141 has 48 divisors (see below), whose sum is σ = 4450642560. Its totient is φ = 1232461440.

The previous prime is 2420013131. The next prime is 2420013209. The reversal of 2420013141 is 1413100242.

It is not a de Polignac number, because 2420013141 - 26 = 2420013077 is a prime.

It is a super-2 number, since 2×24200131412 = 11712927205225371762, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420013131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27195 + ... + 74696.

It is an arithmetic number, because the mean of its divisors is an integer number (92721720).

Almost surely, 22420013141 is an apocalyptic number.

2420013141 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2420013141 is a deficient number, since it is larger than the sum of its proper divisors (2030629419).

2420013141 is a wasteful number, since it uses less digits than its factorization.

2420013141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101946 (or 101943 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2420013141 is about 49193.6290692199. The cubic root of 2420013141 is about 1342.5771190471.

Adding to 2420013141 its reverse (1413100242), we get a palindrome (3833113383).

The spelling of 2420013141 in words is "two billion, four hundred twenty million, thirteen thousand, one hundred forty-one".

Divisors: 1 3 7 9 13 21 29 39 63 87 91 117 203 261 273 377 609 819 1131 1827 2639 3393 7917 23751 101891 305673 713237 917019 1324583 2139711 2954839 3973749 6419133 8864517 9272081 11921247 20683873 26593551 27816243 38412907 62051619 83448729 115238721 186154857 268890349 345716163 806671047 2420013141