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132031515144135 = 35130723269289423
BaseRepresentation
bin11110000001010011111011…
…100011110010111111000111
3122022111002102022011100010110
4132001103323203302333013
5114301201020334103020
61144450235105524103
736544651012416315
oct3601237343627707
9568432368140113
10132031515144135
1139084284276282
1212984713343633
135889698076a29
1424865063bd0b5
15103e6991db8e0
hex7814fb8f2fc7

132031515144135 has 32 divisors (see below), whose sum is σ = 211421870300160. Its totient is φ = 70359664411008.

The previous prime is 132031515144121. The next prime is 132031515144181. The reversal of 132031515144135 is 531441515130231.

It is not a de Polignac number, because 132031515144135 - 24 = 132031515144119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 132031515144093 and 132031515144102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456044034 + ... + 456333456.

It is an arithmetic number, because the mean of its divisors is an integer number (6606933446880).

Almost surely, 2132031515144135 is an apocalyptic number.

132031515144135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132031515144135 is a deficient number, since it is larger than the sum of its proper divisors (79390355156025).

132031515144135 is a wasteful number, since it uses less digits than its factorization.

132031515144135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314007.

The product of its (nonzero) digits is 108000, while the sum is 39.

The spelling of 132031515144135 in words is "one hundred thirty-two trillion, thirty-one billion, five hundred fifteen million, one hundred forty-four thousand, one hundred thirty-five".

Divisors: 1 3 5 15 1307 3921 6535 19605 23269 69807 116345 289423 349035 868269 1447115 4341345 30412583 91237749 152062915 378275861 456188745 1134827583 1891379305 5674137915 6734583787 20203751361 33672918935 101018756805 8802101009609 26406303028827 44010505048045 132031515144135