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542120013 = 3323778447
BaseRepresentation
bin100000010100000…
…001100001001101
31101210002112212000
4200110001201031
52102240320023
6125443302513
716301641551
oct4024014115
91353075760
10542120013
11259015876
1213167aa39
1388411896
1451ddb861
15328d8243
hex2050184d

542120013 has 16 divisors (see below), whose sum is σ = 803573760. Its totient is φ = 361218528.

The previous prime is 542120009. The next prime is 542120017. The reversal of 542120013 is 310021245.

542120013 is a `hidden beast` number, since 542 + 120 + 0 + 1 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (542120009) and next prime (542120017).

It is not a de Polignac number, because 542120013 - 22 = 542120009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542120017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59956 + ... + 68402.

It is an arithmetic number, because the mean of its divisors is an integer number (50223360).

Almost surely, 2542120013 is an apocalyptic number.

It is an amenable number.

542120013 is a deficient number, since it is larger than the sum of its proper divisors (261453747).

542120013 is a wasteful number, since it uses less digits than its factorization.

542120013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10833 (or 10827 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 542120013 is about 23283.4708108564. The cubic root of 542120013 is about 815.3895602116.

Adding to 542120013 its reverse (310021245), we get a palindrome (852141258).

The spelling of 542120013 in words is "five hundred forty-two million, one hundred twenty thousand, thirteen".

Divisors: 1 3 9 27 2377 7131 8447 21393 25341 64179 76023 228069 20078519 60235557 180706671 542120013