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103113100 = 22528391229
BaseRepresentation
bin1100010010101…
…10000110001100
321012000200120201
412021112012030
5202344104400
614122023244
72361306166
oct611260614
9235020521
10103113100
1153228442
122a647b24
131849378c
14d9a1936
1590bc06a
hex625618c

103113100 has 36 divisors (see below), whose sum is σ = 224204400. Its totient is φ = 41162560.

The previous prime is 103113089. The next prime is 103113103. The reversal of 103113100 is 1311301.

It is a super-2 number, since 2×1031131002 = 21264622783220000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103113103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83286 + ... + 84514.

It is an arithmetic number, because the mean of its divisors is an integer number (6227900).

Almost surely, 2103113100 is an apocalyptic number.

103113100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103113100 is an abundant number, since it is smaller than the sum of its proper divisors (121091300).

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

103113100 is a wasteful number, since it uses less digits than its factorization.

103113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 103113100 is about 10154.4620733941. The cubic root of 103113100 is about 468.9263253687.

Adding to 103113100 its reverse (1311301), we get a palindrome (104424401).

The spelling of 103113100 in words is "one hundred three million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 839 1229 1678 2458 3356 4195 4916 6145 8390 12290 16780 20975 24580 30725 41950 61450 83900 122900 1031131 2062262 4124524 5155655 10311310 20622620 25778275 51556550 103113100