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164131161 = 3101733739
BaseRepresentation
bin10011100100001…
…11000101011001
3102102211201121220
421302013011121
5314004144121
624141522253
74032043335
oct1162070531
9372751556
10164131161
1184714197
1246b73389
1328008c3c
1417b267c5
15e6216c6
hex9c87159

164131161 has 16 divisors (see below), whose sum is σ = 221609280. Its totient is φ = 108043200.

The previous prime is 164131147. The next prime is 164131169. The reversal of 164131161 is 161131461.

It is not a de Polignac number, because 164131161 - 214 = 164114777 is a prime.

It is a super-2 number, since 2×1641311612 = 53878076022415842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164131169) 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, 221730 + ... + 222468.

It is an arithmetic number, because the mean of its divisors is an integer number (13850580).

Almost surely, 2164131161 is an apocalyptic number.

It is an amenable number.

164131161 is a deficient number, since it is larger than the sum of its proper divisors (57478119).

164131161 is a wasteful number, since it uses less digits than its factorization.

164131161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1576.

The product of its digits is 432, while the sum is 24.

The square root of 164131161 is about 12811.3684280798. The cubic root of 164131161 is about 547.5162506384.

The spelling of 164131161 in words is "one hundred sixty-four million, one hundred thirty-one thousand, one hundred sixty-one".

Divisors: 1 3 101 303 733 739 2199 2217 74033 74639 222099 223917 541687 1625061 54710387 164131161