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2124740541 = 371127133941
BaseRepresentation
bin111111010100100…
…1111011110111101
312111002002000002010
41332221033132331
513322413144131
6550500321433
7103436665560
oct17651173675
95432060063
102124740541
119a03a7020
124b36a3279
1327b270c31
1416228a4d7
15c6802b46
hex7ea4f7bd

2124740541 has 32 divisors (see below), whose sum is σ = 3545174016. Its totient is φ = 1099656000.

The previous prime is 2124740537. The next prime is 2124740543. The reversal of 2124740541 is 1450474212.

It is not a de Polignac number, because 2124740541 - 22 = 2124740537 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2124740499 and 2124740508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2124740543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45631 + ... + 79571.

It is an arithmetic number, because the mean of its divisors is an integer number (110786688).

Almost surely, 22124740541 is an apocalyptic number.

2124740541 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2124740541 is a deficient number, since it is larger than the sum of its proper divisors (1420433475).

2124740541 is a wasteful number, since it uses less digits than its factorization.

2124740541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34233.

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 2124740541 is about 46094.9079725733. The cubic root of 2124740541 is about 1285.5884683249.

The spelling of 2124740541 in words is "two billion, one hundred twenty-four million, seven hundred forty thousand, five hundred forty-one".

Divisors: 1 3 7 11 21 33 77 231 271 813 1897 2981 5691 8943 20867 33941 62601 101823 237587 373351 712761 1120053 2613457 7840371 9198011 27594033 64386077 101178121 193158231 303534363 708246847 2124740541