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161005361 = 11295389107
BaseRepresentation
bin10011001100010…
…11111100110001
3102012221220211112
421212023330301
5312204132421
623550523105
73663344246
oct1146137461
9365856745
10161005361
1182979790
1245b06495
132748325a
14175515cd
15e20545b
hex998bf31

161005361 has 32 divisors (see below), whose sum is σ = 188956800. Its totient is φ = 135815680.

The previous prime is 161005349. The next prime is 161005367. The reversal of 161005361 is 163500161.

It is a happy number.

It is not a de Polignac number, because 161005361 - 226 = 93896497 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (161005367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504670 + ... + 1504776.

It is an arithmetic number, because the mean of its divisors is an integer number (5904900).

Almost surely, 2161005361 is an apocalyptic number.

161005361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

161005361 is a deficient number, since it is larger than the sum of its proper divisors (27951439).

161005361 is a wasteful number, since it uses less digits than its factorization.

161005361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 161005361 is about 12688.7887916854. The cubic root of 161005361 is about 544.0182206718.

The spelling of 161005361 in words is "one hundred sixty-one million, five thousand, three hundred sixty-one".

Divisors: 1 11 29 53 89 107 319 583 979 1177 1537 2581 3103 4717 5671 9523 16907 28391 34133 51887 62381 104753 136793 164459 276167 504719 1504723 1809049 3037837 5551909 14636851 161005361