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161323128 = 233218112379
BaseRepresentation
bin10011001110110…
…01100001111000
3102020120001201200
421213121201320
5312244320003
624001414200
73666136551
oct1147314170
9366501650
10161323128
11830764aa
124603a360
1327564a95
14175d5328
15e2696a3
hex99d9878

161323128 has 48 divisors (see below), whose sum is σ = 439366200. Its totient is φ = 53472960.

The previous prime is 161323121. The next prime is 161323153. The reversal of 161323128 is 821323161.

It is a happy number.

161323128 is a `hidden beast` number, since 1 + 613 + 23 + 1 + 28 = 666.

161323128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161323121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6843 + ... + 19221.

Almost surely, 2161323128 is an apocalyptic number.

161323128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161323128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219683100).

161323128 is an abundant number, since it is smaller than the sum of its proper divisors (278043072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161323128 is a wasteful number, since it uses less digits than its factorization.

161323128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572 (or 12565 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 161323128 is about 12701.3041850040. The cubic root of 161323128 is about 544.3758846089.

Adding to 161323128 its reverse (821323161), we get a palindrome (982646289).

The spelling of 161323128 in words is "one hundred sixty-one million, three hundred twenty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1086 1448 1629 2172 3258 4344 6516 12379 13032 24758 37137 49516 74274 99032 111411 148548 222822 297096 445644 891288 2240599 4481198 6721797 8962396 13443594 17924792 20165391 26887188 40330782 53774376 80661564 161323128