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101406053 = 7313131493
BaseRepresentation
bin1100000101101…
…01010101100101
321001210221221202
412002311111211
5201424443203
614021252245
72340636320
oct602652545
9231727852
10101406053
1152271961
1229b64085
13180167a8
14d6797b7
158d81388
hex60b5565

101406053 has 16 divisors (see below), whose sum is σ = 120093696. Its totient is φ = 83790720.

The previous prime is 101406047. The next prime is 101406061. The reversal of 101406053 is 350604101.

It is a cyclic number.

It is not a de Polignac number, because 101406053 - 26 = 101405989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101406023) 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, 67175 + ... + 68667.

It is an arithmetic number, because the mean of its divisors is an integer number (7505856).

Almost surely, 2101406053 is an apocalyptic number.

It is an amenable number.

101406053 is a deficient number, since it is larger than the sum of its proper divisors (18687643).

101406053 is a wasteful number, since it uses less digits than its factorization.

101406053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 101406053 is about 10070.0572490925. The cubic root of 101406053 is about 466.3242062888.

The spelling of 101406053 in words is "one hundred one million, four hundred six thousand, fifty-three".

Divisors: 1 7 31 217 313 1493 2191 9703 10451 46283 67921 323981 467309 3271163 14486579 101406053