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132144503030013 = 3175695877757621
BaseRepresentation
bin11110000010111101001010…
…001010011000000011111101
3122022212220001121210122101110
4132002331022022120003331
5114310023420233430023
61145014202512232233
736556060654536315
oct3602751212300375
9568786047718343
10132144503030013
1139118194a62261
12129a25a683b679
1358972335a6236
14248bb84334445
1510425ad783a93
hex782f4a2980fd

132144503030013 has 32 divisors (see below), whose sum is σ = 187203210445440. Its totient is φ = 82627465656320.

The previous prime is 132144503030009. The next prime is 132144503030027. The reversal of 132144503030013 is 310030305441231.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 132144503030013 - 22 = 132144503030009 is a prime.

It is a super-2 number, since 2×1321445030300132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132144503030093) 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 31 ways as a sum of consecutive naturals, for example, 13155343 + ... + 20912963.

It is an arithmetic number, because the mean of its divisors is an integer number (5850100326420).

Almost surely, 2132144503030013 is an apocalyptic number.

It is an amenable number.

132144503030013 is a deficient number, since it is larger than the sum of its proper divisors (55058707415427).

132144503030013 is a wasteful number, since it uses less digits than its factorization.

132144503030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7758797.

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 132144503030013 its reverse (310030305441231), we get a palindrome (442174808471244).

The spelling of 132144503030013 in words is "one hundred thirty-two trillion, one hundred forty-four billion, five hundred three million, thirty thousand, thirteen".

Divisors: 1 3 17 51 569 587 1707 1761 9673 9979 29019 29937 334003 1002009 5678051 7757621 17034153 23272863 131879557 395638671 4414086349 4553723527 13242259047 13661170581 75039467933 77413299959 225118403799 232239899877 2591068686863 7773206060589 44048167676671 132144503030013