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113322310320000 = 27354835688871
BaseRepresentation
bin11001110001000011101000…
…000011010011111110000000
3112212020111200122112202210110
4121301003220003103332000
5104323133042420220000
61041003314540031320
732604160330346115
oct3161035003237600
9485214618482713
10113322310320000
11331207a3961861
1210862758532540
134b3032bb54132
141ddab8701890c
15d17b900e0850
hex6710e80d3f80

113322310320000 has 320 divisors, whose sum is σ = 380677013861760. Its totient is φ = 29855189760000.

The previous prime is 113322310319963. The next prime is 113322310320031. The reversal of 113322310320000 is 23013223311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17075565 + ... + 22764435.

It is an arithmetic number, because the mean of its divisors is an integer number (1189615668318).

Almost surely, 2113322310320000 is an apocalyptic number.

113322310320000 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 113322310320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190338506930880).

113322310320000 is an abundant number, since it is smaller than the sum of its proper divisors (267354703541760).

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

113322310320000 is an frugal number, since it uses more digits than its factorization.

113322310320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688991 (or 5688964 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 113322310320000 its reverse (23013223311), we get a palindrome (113345323543311).

The spelling of 113322310320000 in words is "one hundred thirteen trillion, three hundred twenty-two billion, three hundred ten million, three hundred twenty thousand".