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11341424120 = 2351323393607
BaseRepresentation
bin10101001000000000…
…00110010111111000
31002021101220001002012
422210000012113320
5141211401032440
65113222025052
7551023341305
oct124400062770
932241801065
1011341424120
11489aa35894
122246278188
1310b989a260
147983880ac
15465a31e65
hex2a40065f8

11341424120 has 64 divisors (see below), whose sum is σ = 27599382720. Its totient is φ = 4169585664.

The previous prime is 11341424117. The next prime is 11341424137. The reversal of 11341424120 is 2142414311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74357 + ... + 167963.

It is an arithmetic number, because the mean of its divisors is an integer number (431240355).

Almost surely, 211341424120 is an apocalyptic number.

11341424120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11341424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13799691360).

11341424120 is an abundant number, since it is smaller than the sum of its proper divisors (16257958600).

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

11341424120 is a wasteful number, since it uses less digits than its factorization.

11341424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93864 (or 93860 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 11341424120 its reverse (2142414311), we get a palindrome (13483838431).

The spelling of 11341424120 in words is "eleven billion, three hundred forty-one million, four hundred twenty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 233 260 466 520 932 1165 1864 2330 3029 4660 6058 9320 12116 15145 24232 30290 60580 93607 121160 187214 374428 468035 748856 936070 1216891 1872140 2433782 3744280 4867564 6084455 9735128 12168910 21810431 24337820 43620862 48675640 87241724 109052155 174483448 218104310 283535603 436208620 567071206 872417240 1134142412 1417678015 2268284824 2835356030 5670712060 11341424120