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401103100 = 225217213879
BaseRepresentation
bin10111111010000…
…101100011111100
31000221202011000101
4113322011203330
51310140244400
6103445010444
712640214536
oct2772054374
91027664011
10401103100
11196459772
12b23b3a24
1365139718
143b3b0856
152533056a
hex17e858fc

401103100 has 54 divisors (see below), whose sum is σ = 924671720. Its totient is φ = 150992640.

The previous prime is 401103077. The next prime is 401103103. The reversal of 401103100 is 1301104.

It is a happy number.

It is a super-2 number, since 2×4011031002 = 321767393659220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401103103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 21961 + ... + 35839.

Almost surely, 2401103100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462335860).

401103100 is an abundant number, since it is smaller than the sum of its proper divisors (523568620).

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

401103100 is a wasteful number, since it uses less digits than its factorization.

401103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13927 (or 13903 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 401103100 is about 20027.5585132087. The cubic root of 401103100 is about 737.4829872548.

Adding to 401103100 its reverse (1301104), we get a palindrome (402404204).

The spelling of 401103100 in words is "four hundred one million, one hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 289 340 425 578 850 1156 1445 1700 2890 5780 7225 13879 14450 27758 28900 55516 69395 138790 235943 277580 346975 471886 693950 943772 1179715 1387900 2359430 4011031 4718860 5898575 8022062 11797150 16044124 20055155 23594300 40110310 80220620 100275775 200551550 401103100