Search a number
-
+
100300214124 = 223211253283369
BaseRepresentation
bin101110101101001011…
…0111100111101101100
3100120220002112210121100
41131122112330331230
53120403323322444
6114024405403100
710150350516225
oct1353226747554
9316802483540
10100300214124
113959a946450
1217532409490
1395c5a83b36
144bd6c8c24c
15292078be69
hex175a5bcf6c

100300214124 has 36 divisors (see below), whose sum is σ = 276585440040. Its totient is φ = 30394004160.

The previous prime is 100300214093. The next prime is 100300214129. The reversal of 100300214124 is 421412003001.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100300214097 and 100300214106.

It is not an unprimeable number, because it can be changed into a prime (100300214129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126641289 + ... + 126642080.

It is an arithmetic number, because the mean of its divisors is an integer number (7682928890).

Almost surely, 2100300214124 is an apocalyptic number.

It is an amenable number.

100300214124 is an abundant number, since it is smaller than the sum of its proper divisors (176285225916).

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

100300214124 is a wasteful number, since it uses less digits than its factorization.

100300214124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253283390 (or 253283385 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 100300214124 its reverse (421412003001), we get a palindrome (521712217125).

The spelling of 100300214124 in words is "one hundred billion, three hundred million, two hundred fourteen thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 253283369 506566738 759850107 1013133476 1519700214 2279550321 2786117059 3039400428 4559100642 5572234118 8358351177 9118201284 11144468236 16716702354 25075053531 33433404708 50150107062 100300214124