Search a number
-
+
100123038 = 23213142461
BaseRepresentation
bin1011111011111…
…00000110011110
320222101202222200
411331330012132
5201112414123
613533552330
72324013621
oct575740636
9228352880
10100123038
1151575a14
12296456a6
1317987802
14d423db8
158bcb143
hex5f7c19e

100123038 has 24 divisors (see below), whose sum is σ = 218594376. Its totient is φ = 33118800.

The previous prime is 100122977. The next prime is 100123039. The reversal of 100123038 is 830321001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100123038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100123039) 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 11 ways as a sum of consecutive naturals, for example, 18873 + ... + 23588.

It is an arithmetic number, because the mean of its divisors is an integer number (9108099).

Almost surely, 2100123038 is an apocalyptic number.

100123038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100123038 is an abundant number, since it is smaller than the sum of its proper divisors (118471338).

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

100123038 is a wasteful number, since it uses less digits than its factorization.

100123038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42600 (or 42597 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 100123038 is about 10006.1500088695. The cubic root of 100123038 is about 464.3491692769.

Adding to 100123038 its reverse (830321001), we get a palindrome (930444039).

The spelling of 100123038 in words is "one hundred million, one hundred twenty-three thousand, thirty-eight".

Divisors: 1 2 3 6 9 18 131 262 393 786 1179 2358 42461 84922 127383 254766 382149 764298 5562391 11124782 16687173 33374346 50061519 100123038