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11324420430 = 2355311363029
BaseRepresentation
bin10101000101111110…
…01111000101001110
31002020012220011101220
422202333033011032
5141143022423210
65111413344210
7550425662001
oct124277170516
932205804356
1011324420430
114891381754
122240638066
1310b61c58bb
14795ddd538
154642c3c70
hex2a2fcf14e

11324420430 has 64 divisors (see below), whose sum is σ = 27936912960. Its totient is φ = 2936600576.

The previous prime is 11324420423. The next prime is 11324420447. The reversal of 11324420430 is 3402442311.

It is a super-3 number, since 3×113244204303 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11324420430.

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 31 ways as a sum of consecutive naturals, for example, 148156 + ... + 211184.

It is an arithmetic number, because the mean of its divisors is an integer number (436514265).

Almost surely, 211324420430 is an apocalyptic number.

11324420430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11324420430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13968456480).

11324420430 is an abundant number, since it is smaller than the sum of its proper divisors (16612492530).

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

11324420430 is a wasteful number, since it uses less digits than its factorization.

11324420430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63205.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 11324420430 its reverse (3402442311), we get a palindrome (14726862741).

The spelling of 11324420430 in words is "eleven billion, three hundred twenty-four million, four hundred twenty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 53 106 113 159 226 265 318 339 530 565 678 795 1130 1590 1695 3390 5989 11978 17967 29945 35934 59890 63029 89835 126058 179670 189087 315145 378174 630290 945435 1890870 3340537 6681074 7122277 10021611 14244554 16702685 20043222 21366831 33405370 35611385 42733662 50108055 71222770 100216110 106834155 213668310 377480681 754961362 1132442043 1887403405 2264884086 3774806810 5662210215 11324420430