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11341442112 = 2637111359011
BaseRepresentation
bin10101001000000000…
…01010110001000000
31002021101220221202120
422210000022301000
5141211402121422
65113222244240
7551023444620
oct124400126100
932241827676
1011341442112
11489aa48360
122246286680
1310b98a54c0
14798390880
15465a3745c
hex2a400ac40

11341442112 has 224 divisors, whose sum is σ = 40290561024. Its totient is φ = 2719180800.

The previous prime is 11341442111. The next prime is 11341442129. The reversal of 11341442112 is 21124414311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11341442111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162687 + ... + 221697.

It is an arithmetic number, because the mean of its divisors is an integer number (179868576).

Almost surely, 211341442112 is an apocalyptic number.

11341442112 is a gapful number since it is divisible by the number (12) 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 11341442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20145280512).

11341442112 is an abundant number, since it is smaller than the sum of its proper divisors (28949118912).

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

11341442112 is a wasteful number, since it uses less digits than its factorization.

11341442112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59057 (or 59047 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

Adding to 11341442112 its reverse (21124414311), we get a palindrome (32465856423).

The spelling of 11341442112 in words is "eleven billion, three hundred forty-one million, four hundred forty-two thousand, one hundred twelve".