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133030014541 = 17241109103001
BaseRepresentation
bin111101111100100110…
…1001110111001001101
3110201101002102221011121
41323321031032321031
54134421140431131
6141040234520541
712416415315664
oct1737115167115
9421332387147
10133030014541
1151465a7a986
1221947596151
13c710867848
14661da85ddb
1536d8d85911
hex1ef934ee4d

133030014541 has 24 divisors (see below), whose sum is σ = 146091856680. Its totient is φ = 121029120000.

The previous prime is 133030014529. The next prime is 133030014569. The reversal of 133030014541 is 145410030331.

It can be written as a sum of positive squares in 12 ways, for example, as 37314648900 + 95715365641 = 193170^2 + 309379^2 .

It is not a de Polignac number, because 133030014541 - 231 = 130882530893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133030014511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1240041 + ... + 1343041.

It is an arithmetic number, because the mean of its divisors is an integer number (6087160695).

Almost surely, 2133030014541 is an apocalyptic number.

It is an amenable number.

133030014541 is a deficient number, since it is larger than the sum of its proper divisors (13061842139).

133030014541 is a wasteful number, since it uses less digits than its factorization.

133030014541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103185 (or 103168 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 133030014541 its reverse (145410030331), we get a palindrome (278440044872).

The spelling of 133030014541 in words is "one hundred thirty-three billion, thirty million, fourteen thousand, five hundred forty-one".

Divisors: 1 17 41 109 289 697 1853 4469 11849 31501 75973 103001 1291541 1751017 4223041 11227109 29767289 71791697 190860853 460311469 1220458849 3244634501 7825294973 133030014541