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112823040000 = 211354112671
BaseRepresentation
bin110100100010011000…
…1101111100000000000
3101210012211110021020010
41221010301233200000
53322030144240000
6123455153144520
711102601005526
oct1510461574000
9353184407203
10112823040000
1143936734920
1219a4825b140
13a840333188
1456640c4316
152e04d83d50
hex1a44c6f800

112823040000 has 480 divisors, whose sum is σ = 410187697920. Its totient is φ = 27340800000.

The previous prime is 112823039999. The next prime is 112823040007. The reversal of 112823040000 is 40328211.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112823040007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42238665 + ... + 42241335.

It is an arithmetic number, because the mean of its divisors is an integer number (854557704).

Almost surely, 2112823040000 is an apocalyptic number.

112823040000 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 112823040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205093848960).

112823040000 is an abundant number, since it is smaller than the sum of its proper divisors (297364657920).

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

112823040000 is an equidigital number, since it uses as much as digits as its factorization.

112823040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2727 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 112823040000 its reverse (40328211), we get a palindrome (112863368211).

The spelling of 112823040000 in words is "one hundred twelve billion, eight hundred twenty-three million, forty thousand".