Search a number
-
+
401102112 = 25338310909
BaseRepresentation
bin10111111010000…
…101010100100000
31000221202002122210
4113322011110200
51310140231422
6103445002120
712640211625
oct2772052440
91027662583
10401102112
11196458a54
12b23b3340
1365139138
143b3b034c
152533010c
hex17e85520

401102112 has 48 divisors (see below), whose sum is σ = 1055738880. Its totient is φ = 133339392.

The previous prime is 401102099. The next prime is 401102113. The reversal of 401102112 is 211201104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (401102113) 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 7 ways as a sum of consecutive naturals, for example, 31314 + ... + 42222.

It is an arithmetic number, because the mean of its divisors is an integer number (21994560).

Almost surely, 2401102112 is an apocalyptic number.

It is an amenable number.

401102112 is an abundant number, since it is smaller than the sum of its proper divisors (654636768).

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

401102112 is a wasteful number, since it uses less digits than its factorization.

401102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11305 (or 11297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 401102112 is about 20027.5338471815. The cubic root of 401102112 is about 737.4823817298.

Adding to 401102112 its reverse (211201104), we get a palindrome (612303216).

The spelling of 401102112 in words is "four hundred one million, one hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 383 766 1149 1532 2298 3064 4596 6128 9192 10909 12256 18384 21818 32727 36768 43636 65454 87272 130908 174544 261816 349088 523632 1047264 4178147 8356294 12534441 16712588 25068882 33425176 50137764 66850352 100275528 133700704 200551056 401102112