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1012333132005 = 3513171072928463
BaseRepresentation
bin11101011101100111100…
…00011011100011100101
310120210000020101110000220
432232303300123203211
5113041224240211010
62053020500154553
7133065362434056
oct16566360334345
93523006343026
101012333132005
11360367730578
12144244398a59
137460245b8a0
1436dd63c072d
151b4ee38c970
hexebb3c1b8e5

1012333132005 has 64 divisors (see below), whose sum is σ = 1847172418560. Its totient is φ = 469002756096.

The previous prime is 1012333131961. The next prime is 1012333132037. The reversal of 1012333132005 is 5002313332101.

It is not a de Polignac number, because 1012333132005 - 28 = 1012333131749 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 35552404 + ... + 35580866.

It is an arithmetic number, because the mean of its divisors is an integer number (28862069040).

Almost surely, 21012333132005 is an apocalyptic number.

1012333132005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012333132005 is a deficient number, since it is larger than the sum of its proper divisors (834839286555).

1012333132005 is a wasteful number, since it uses less digits than its factorization.

1012333132005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39230.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 1012333132005 its reverse (5002313332101), we get a palindrome (6014646464106).

The spelling of 1012333132005 in words is "one trillion, twelve billion, three hundred thirty-three million, one hundred thirty-two thousand, five".

Divisors: 1 3 5 13 15 17 39 51 65 85 195 221 255 663 1105 3315 10729 28463 32187 53645 85389 139477 142315 160935 182393 370019 418431 426945 483871 547179 697385 911965 1110057 1451613 1850095 2092155 2371109 2419355 2735895 5550285 6290323 7113327 7258065 11855545 18870969 31451615 35566635 94354845 305379527 916138581 1526897635 3969933851 4580692905 5191451959 11909801553 15574355877 19849669255 25957259795 59549007765 67488875467 77871779385 202466626401 337444377335 1012333132005