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132020205011505 = 3252933782333589
BaseRepresentation
bin11110000001001001011001…
…011011000100001000110001
3122022110000020002011001220100
4132001021121123010020301
5114301004334440332010
61144441124522303013
736544100516032566
oct3601113133041061
9568400202131810
10132020205011505
113907a4aaa73228
1212982497657a69
1358885b4b14565
142485b5225c86d
15103e2362db2c0
hex7812596c4231

132020205011505 has 12 divisors (see below), whose sum is σ = 228835022020020. Its totient is φ = 70410776006112.

The previous prime is 132020205011501. The next prime is 132020205011561. The reversal of 132020205011505 is 505110502020231.

132020205011505 is a `hidden beast` number, since 1 + 3 + 2 + 0 + 2 + 0 + 2 + 0 + 501 + 150 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16531567205409 + 115488637806096 = 4065903^2 + 10746564^2 .

It is not a de Polignac number, because 132020205011505 - 22 = 132020205011501 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132020205011501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1466891166750 + ... + 1466891166839.

It is an arithmetic number, because the mean of its divisors is an integer number (19069585168335).

Almost surely, 2132020205011505 is an apocalyptic number.

132020205011505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132020205011505 is a deficient number, since it is larger than the sum of its proper divisors (96814817008515).

132020205011505 is a wasteful number, since it uses less digits than its factorization.

132020205011505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2933782333600 (or 2933782333597 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 132020205011505 its reverse (505110502020231), we get a palindrome (637130707031736).

The spelling of 132020205011505 in words is "one hundred thirty-two trillion, twenty billion, two hundred five million, eleven thousand, five hundred five".

Divisors: 1 3 5 9 15 45 2933782333589 8801347000767 14668911667945 26404041002301 44006735003835 132020205011505