Search a number
-
+
161101512 = 2332111315647
BaseRepresentation
bin10011001101000…
…11011011001000
3102020010210201200
421212203123020
5312220222022
623552544200
73664224465
oct1146433310
9366123650
10161101512
1182a34a50
1245b52060
13274b7c50
141757866c
15e223bac
hex99a36c8

161101512 has 96 divisors (see below), whose sum is σ = 512628480. Its totient is φ = 45060480.

The previous prime is 161101489. The next prime is 161101517. The reversal of 161101512 is 215101161.

It is a happy number.

161101512 is a `hidden beast` number, since 1 + 611 + 0 + 1 + 51 + 2 = 666.

It is a super-2 number, since 2×1611015122 = 51907394337372288, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161101517) 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 23 ways as a sum of consecutive naturals, for example, 2473 + ... + 18119.

It is an arithmetic number, because the mean of its divisors is an integer number (5339880).

Almost surely, 2161101512 is an apocalyptic number.

161101512 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 161101512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256314240).

161101512 is an abundant number, since it is smaller than the sum of its proper divisors (351526968).

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

161101512 is a wasteful number, since it uses less digits than its factorization.

161101512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15683 (or 15676 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 161101512 is about 12692.5770432958. The cubic root of 161101512 is about 544.1264934367.

Adding to 161101512 its reverse (215101161), we get a palindrome (376202673).

The spelling of 161101512 in words is "one hundred sixty-one million, one hundred one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 198 234 264 286 312 396 429 468 572 792 858 936 1144 1287 1716 2574 3432 5148 10296 15647 31294 46941 62588 93882 125176 140823 172117 187764 203411 281646 344234 375528 406822 516351 563292 610233 688468 813644 1032702 1126584 1220466 1376936 1549053 1627288 1830699 2065404 2237521 2440932 3098106 3661398 4130808 4475042 4881864 6196212 6712563 7322796 8950084 12392424 13425126 14645592 17900168 20137689 26850252 40275378 53700504 80550756 161101512