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541120021145 = 51110619272899
BaseRepresentation
bin1111101111111010100…
…01000100001010011001
31220201201120210012220122
413313331101010022121
532331203211134040
61052330452003025
754044313201044
oct7677521041231
91821646705818
10541120021145
11199540165a50
1288a58000475
133c048270c32
141c294461c5b
15e120b081b5
hex7dfd444299

541120021145 has 16 divisors (see below), whose sum is σ = 709043025600. Its totient is φ = 393170875200.

The previous prime is 541120021103. The next prime is 541120021151.

It is a happy number.

541120021145 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-541120021145 is a prime.

It is a super-2 number, since 2×5411200211452 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4578095 + ... + 4694804.

It is an arithmetic number, because the mean of its divisors is an integer number (44315189100).

Almost surely, 2541120021145 is an apocalyptic number.

541120021145 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

541120021145 is a deficient number, since it is larger than the sum of its proper divisors (167923004455).

541120021145 is a wasteful number, since it uses less digits than its factorization.

541120021145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9273976.

The product of its (nonzero) digits is 1600, while the sum is 26.

It can be divided in two parts, 5411200 and 21145, that added together give a palindrome (5432345).

The spelling of 541120021145 in words is "five hundred forty-one billion, one hundred twenty million, twenty-one thousand, one hundred forty-five".

Divisors: 1 5 11 55 1061 5305 11671 58355 9272899 46364495 102001889 510009445 9838545839 49192729195 108224004229 541120021145