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135232822710135 = 3253005173838003
BaseRepresentation
bin11110101111111001011000…
…010111000000111101110111
3122201211010112221010112102100
4132233321120113000331313
5120211123310103211020
61155341033501113143
740325151261642243
oct3657713027007567
9581733487115370
10135232822710135
113a0a8a109a8907
121320103a8587b3
135a5c528a7c797
142557436cc7423
151097ab1a8ba90
hex7afe585c0f77

135232822710135 has 12 divisors (see below), whose sum is σ = 234403559364312. Its totient is φ = 72124172112048.

The previous prime is 135232822710121. The next prime is 135232822710149. The reversal of 135232822710135 is 531017228232531.

135232822710135 is a `hidden beast` number, since 1 + 3 + 52 + 328 + 2 + 271 + 0 + 1 + 3 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (135232822710121) and next prime (135232822710149).

It is not a de Polignac number, because 135232822710135 - 210 = 135232822709111 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 3005173838003 = 135232822710135 / (1 + 3 + 5 + 2 + 3 + 2 + 8 + 2 + 2 + 7 + 1 + 0 + 1 + 3 + 5).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1502586918957 + ... + 1502586919046.

It is an arithmetic number, because the mean of its divisors is an integer number (19533629947026).

Almost surely, 2135232822710135 is an apocalyptic number.

135232822710135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135232822710135 is a deficient number, since it is larger than the sum of its proper divisors (99170736654177).

135232822710135 is a wasteful number, since it uses less digits than its factorization.

135232822710135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005173838014 (or 3005173838011 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 135232822710135 in words is "one hundred thirty-five trillion, two hundred thirty-two billion, eight hundred twenty-two million, seven hundred ten thousand, one hundred thirty-five".

Divisors: 1 3 5 9 15 45 3005173838003 9015521514009 15025869190015 27046564542027 45077607570045 135232822710135