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540034220121 = 31183260975571
BaseRepresentation
bin1111101101111001000…
…11000100000001011001
31220121220220122210220220
413312330203010001121
532321442230020441
61052031023310253
754005360063304
oct7667443040131
91817826583826
10540034220121
11199033269630
12887b444b389
133bc04322116
141c1d017bb3b
15e0aa629466
hex7dbc8c4059

540034220121 has 32 divisors (see below), whose sum is σ = 795283453440. Its totient is φ = 323221958400.

The previous prime is 540034220081. The next prime is 540034220153. The reversal of 540034220121 is 121022430045.

It is not a de Polignac number, because 540034220121 - 29 = 540034219609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 540034220091 and 540034220100.

It is not an unprimeable number, because it can be changed into a prime (540034220191) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 7108266 + ... + 7183836.

It is an arithmetic number, because the mean of its divisors is an integer number (24852607920).

Almost surely, 2540034220121 is an apocalyptic number.

It is an amenable number.

540034220121 is a deficient number, since it is larger than the sum of its proper divisors (255249233319).

540034220121 is a wasteful number, since it uses less digits than its factorization.

540034220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78277.

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 540034220121 its reverse (121022430045), we get a palindrome (661056650166).

The spelling of 540034220121 in words is "five hundred forty billion, thirty-four million, two hundred twenty thousand, one hundred twenty-one".

Divisors: 1 3 11 33 83 249 913 2609 2739 7827 28699 75571 86097 216547 226713 649641 831281 2382017 2493843 6272393 7146051 18817179 68996323 197164739 206988969 591494217 2168812129 6506436387 16364673337 49094020011 180011406707 540034220121