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11322323013120 = 293571319159673
BaseRepresentation
bin1010010011000010111100…
…0010101000111000000000
31111002101220011021021020020
42210300233002220320000
52441001104142404440
640025223044213440
72246003501452620
oct244605702507000
944071804237206
1011322323013120
113675852194389
12132a41309a280
136418c8c9c462
142b20092dc880
151497bd9ee3d0
hexa4c2f0a8e00

11322323013120 has 320 divisors, whose sum is σ = 41398537466880. Its totient is φ = 2585981288448.

The previous prime is 11322323013077. The next prime is 11322323013137. The reversal of 11322323013120 is 2131032322311.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70829604 + ... + 70989276.

It is an arithmetic number, because the mean of its divisors is an integer number (129370429584).

Almost surely, 211322323013120 is an apocalyptic number.

11322323013120 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 11322323013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20699268733440).

11322323013120 is an abundant number, since it is smaller than the sum of its proper divisors (30076214453760).

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

11322323013120 is a wasteful number, since it uses less digits than its factorization.

11322323013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161025 (or 161009 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 11322323013120 its reverse (2131032322311), we get a palindrome (13453355335431).

The spelling of 11322323013120 in words is "eleven trillion, three hundred twenty-two billion, three hundred twenty-three million, thirteen thousand, one hundred twenty".