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103313408 = 212112293
BaseRepresentation
bin1100010100001…
…11000000000000
321012101212100112
412022013000000
5202422012113
614130210452
72363102162
oct612070000
9235355315
10103313408
1153354990
122a723a28
13185339c3
14da14932
15910b5a8
hex6287000

103313408 has 52 divisors (see below), whose sum is σ = 225481848. Its totient is φ = 46940160.

The previous prime is 103313389. The next prime is 103313453. The reversal of 103313408 is 804313301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 43910 + ... + 46202.

Almost surely, 2103313408 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 103313408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112740924).

103313408 is an abundant number, since it is smaller than the sum of its proper divisors (122168440).

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

103313408 is an equidigital number, since it uses as much as digits as its factorization.

103313408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2328 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 103313408 is about 10164.3203412722. The cubic root of 103313408 is about 469.2297751314.

Adding to 103313408 its reverse (804313301), we get a palindrome (907626709).

It can be divided in two parts, 1033 and 13408, that added together give a palindrome (14441).

The spelling of 103313408 in words is "one hundred three million, three hundred thirteen thousand, four hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2048 2293 2816 4096 4586 5632 9172 11264 18344 22528 25223 36688 45056 50446 73376 100892 146752 201784 293504 403568 587008 807136 1174016 1614272 2348032 3228544 4696064 6457088 9392128 12914176 25828352 51656704 103313408