Search a number
-
+
100306430 = 2572204707
BaseRepresentation
bin1011111101010…
…00110111111110
320222202002112222
411332220313332
5201134301210
613541525342
72325406400
oct576506776
9228662488
10100306430
1151690784
1229713852
1317a20123
14d470b70
158c15655
hex5fa8dfe

100306430 has 24 divisors (see below), whose sum is σ = 210030408. Its totient is φ = 34390608.

The previous prime is 100306411. The next prime is 100306441. The reversal of 100306430 is 34603001.

It is a super-2 number, since 2×1003064302 = 20122759798689800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100306399 and 100306408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101864 + ... + 102843.

It is an arithmetic number, because the mean of its divisors is an integer number (8751267).

Almost surely, 2100306430 is an apocalyptic number.

100306430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100306430 is an abundant number, since it is smaller than the sum of its proper divisors (109723978).

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

100306430 is a wasteful number, since it uses less digits than its factorization.

100306430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204728 (or 204721 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 100306430 is about 10015.3097805310. The cubic root of 100306430 is about 464.6325072704.

Adding to 100306430 its reverse (34603001), we get a palindrome (134909431).

The spelling of 100306430 in words is "one hundred million, three hundred six thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 490 204707 409414 1023535 1432949 2047070 2865898 7164745 10030643 14329490 20061286 50153215 100306430