Search a number
-
+
161042112 = 26327113631
BaseRepresentation
bin10011001100101…
…00111011000000
3102020000210020200
421212110323000
5312211321422
623551405200
73663556350
oct1146247300
9366023220
10161042112
11829a4360
1245b23800
1327496bba
1417560b60
15e2112ac
hex9994ec0

161042112 has 168 divisors, whose sum is σ = 575657472. Its totient is φ = 41817600.

The previous prime is 161042107. The next prime is 161042131. The reversal of 161042112 is 211240161.

161042112 is a `hidden beast` number, since 1 + 610 + 42 + 1 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42537 + ... + 46167.

Almost surely, 2161042112 is an apocalyptic number.

161042112 is a gapful number since it is divisible by the number (12) 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 161042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287828736).

161042112 is an abundant number, since it is smaller than the sum of its proper divisors (414615360).

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

161042112 is a wasteful number, since it uses less digits than its factorization.

161042112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3667 (or 3654 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 161042112 is about 12690.2368772218. The cubic root of 161042112 is about 544.0596099615.

Adding to 161042112 its reverse (211240161), we get a palindrome (372282273).

The spelling of 161042112 in words is "one hundred sixty-one million, forty-two thousand, one hundred twelve".