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135756101 = 13175471123
BaseRepresentation
bin10000001011101…
…11100101000101
3100110110010100202
420011313211011
5234223143401
621245420245
73235623245
oct1005674505
9313403322
10135756101
116a6a3628
123956a685
1322182770
141405bb25
15bdb906b
hex8177945

135756101 has 16 divisors (see below), whose sum is σ = 155219904. Its totient is φ = 117621504.

The previous prime is 135756091. The next prime is 135756107. The reversal of 135756101 is 101657531.

It is a de Polignac number, because none of the positive numbers 2k-135756101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135756107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120326 + ... + 121448.

It is an arithmetic number, because the mean of its divisors is an integer number (9701244).

Almost surely, 2135756101 is an apocalyptic number.

It is an amenable number.

135756101 is a deficient number, since it is larger than the sum of its proper divisors (19463803).

135756101 is a wasteful number, since it uses less digits than its factorization.

135756101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 135756101 is about 11651.4420137595. The cubic root of 135756101 is about 513.9487160348.

The spelling of 135756101 in words is "one hundred thirty-five million, seven hundred fifty-six thousand, one hundred one".

Divisors: 1 13 17 221 547 1123 7111 9299 14599 19091 120887 248183 614281 7985653 10442777 135756101