Search a number
-
+
541123543321 = 263227972
BaseRepresentation
bin1111101111111010111…
…10100000000100011001
31220201201211102011102121
413313331132200010121
532331210111341241
61052331055301241
754044355140554
oct7677536400431
91821654364377
10541123543321
11199542151239
1288a5921a821
133c048c0516a
141c294adb69b
15e1210a1ad1
hex7dfd7a0119

541123543321 has 9 divisors (see below), whose sum is σ = 543383144031. Its totient is φ = 538873309272.

The previous prime is 541123543309. The next prime is 541123543327. The reversal of 541123543321 is 123345321145.

The square root of 541123543321 is 735611.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 400075225225 + 141048318096 = 632515^2 + 375564^2 .

It is not a de Polignac number, because 541123543321 - 221 = 541121446169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (541123543327) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 193464295 + ... + 193467091.

Almost surely, 2541123543321 is an apocalyptic number.

541123543321 is the 735611-st square number.

541123543321 is the 367806-th centered octagonal number.

It is an amenable number.

541123543321 is a deficient number, since it is larger than the sum of its proper divisors (2259600710).

541123543321 is an frugal number, since it uses more digits than its factorization.

541123543321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6120 (or 3060 counting only the distinct ones).

The product of its digits is 43200, while the sum is 34.

Adding to 541123543321 its reverse (123345321145), we get a palindrome (664468864466).

The spelling of 541123543321 in words is "five hundred forty-one billion, one hundred twenty-three million, five hundred forty-three thousand, three hundred twenty-one".

Divisors: 1 263 2797 69169 735611 7823209 193465693 2057503967 541123543321