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542212101 = 321929532063
BaseRepresentation
bin100000010100011…
…000000000000101
31101210021020011200
4200110120000011
52102301241401
6125445253113
716302504204
oct4024300005
91353236150
10542212101
11259078a82
12131704199
1388444782
145202323b
1532905686
hex20518005

542212101 has 48 divisors (see below), whose sum is σ = 869356800. Its totient is φ = 324245376.

The previous prime is 542212057. The next prime is 542212117. The reversal of 542212101 is 101212245.

542212101 is a `hidden beast` number, since 542 + 2 + 121 + 0 + 1 = 666.

It is not a de Polignac number, because 542212101 - 26 = 542212037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542212141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261796 + ... + 263858.

It is an arithmetic number, because the mean of its divisors is an integer number (18111600).

Almost surely, 2542212101 is an apocalyptic number.

It is an amenable number.

542212101 is a deficient number, since it is larger than the sum of its proper divisors (327144699).

542212101 is a wasteful number, since it uses less digits than its factorization.

542212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2170 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 542212101 is about 23285.4482671045. The cubic root of 542212101 is about 815.4357267066.

Adding to 542212101 its reverse (101212245), we get a palindrome (643424346).

The spelling of 542212101 in words is "five hundred forty-two million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 9 19 29 53 57 87 159 171 261 477 551 1007 1537 1653 2063 3021 4611 4959 6189 9063 13833 18567 29203 39197 59827 87609 109339 117591 179481 262827 328017 352773 538443 984051 1136713 2077441 3170831 3410139 6232323 9512493 10230417 18696969 28537479 60245789 180737367 542212101