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132730011405 = 32529101708821
BaseRepresentation
bin111101110011101010…
…0110011111100001101
3110200121011221012020100
41323213110303330031
54133312340331110
6140550400441313
712406113324165
oct1734724637415
9420534835210
10132730011405
11513216a4102
1221883019239
13c6936684b4
1465d1cb15a5
1536bc875bc0
hex1ee7533f0d

132730011405 has 24 divisors (see below), whose sum is σ = 237998643480. Its totient is φ = 68348327040.

The previous prime is 132730011397. The next prime is 132730011409. The reversal of 132730011405 is 504110037231.

It can be written as a sum of positive squares in 4 ways, for example, as 39711721284 + 93018290121 = 199278^2 + 304989^2 .

It is not a de Polignac number, because 132730011405 - 23 = 132730011397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132730011409) 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, 50853106 + ... + 50855715.

It is an arithmetic number, because the mean of its divisors is an integer number (9916610145).

Almost surely, 2132730011405 is an apocalyptic number.

132730011405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132730011405 is a deficient number, since it is larger than the sum of its proper divisors (105268632075).

132730011405 is a wasteful number, since it uses less digits than its factorization.

132730011405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101708861 (or 101708858 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 132730011405 its reverse (504110037231), we get a palindrome (636840048636).

The spelling of 132730011405 in words is "one hundred thirty-two billion, seven hundred thirty million, eleven thousand, four hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 101708821 305126463 508544105 915379389 1525632315 2949555809 4576896945 8848667427 14747779045 26546002281 44243337135 132730011405