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45300101 = 711279677
BaseRepresentation
bin1010110011001…
…1100110000101
310011020111001112
42230303212011
543044100401
64254534405
71060021160
oct254634605
9104214045
1045300101
1123630700
1213207405
1395010c2
146032ad7
153e9c3bb
hex2b33985

45300101 has 24 divisors (see below), whose sum is σ = 57711360. Its totient is φ = 34800480.

The previous prime is 45300071. The next prime is 45300103. The reversal of 45300101 is 10100354.

45300101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45300101 - 26 = 45300037 is a prime.

It is a super-4 number, since 4×453001014 (a number of 32 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45300103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66575 + ... + 67251.

It is an arithmetic number, because the mean of its divisors is an integer number (2404640).

Almost surely, 245300101 is an apocalyptic number.

It is an amenable number.

45300101 is a deficient number, since it is larger than the sum of its proper divisors (12411259).

45300101 is a wasteful number, since it uses less digits than its factorization.

45300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 45300101 is about 6730.5349713080. The cubic root of 45300101 is about 356.4782661015.

Adding to 45300101 its reverse (10100354), we get a palindrome (55400455).

The spelling of 45300101 in words is "forty-five million, three hundred thousand, one hundred one".

Divisors: 1 7 11 77 79 121 553 677 847 869 4739 6083 7447 9559 52129 53483 66913 81917 374381 573419 588313 4118191 6471443 45300101