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2313120321120 = 253574331151479
BaseRepresentation
bin100001101010010000101…
…101110000111001100000
322012010120022222020201110
4201222100231300321200
5300344232300233440
64530344404103320
7326055164214450
oct41522055607140
98163508866643
102313120321120
11811a97133584
1231436b394b40
1313a184671aab
147dd5431bd60
1540282459080
hex21a90b70e60

2313120321120 has 384 divisors, whose sum is σ = 8548454154240. Its totient is φ = 514747054080.

The previous prime is 2313120321119. The next prime is 2313120321139. The reversal of 2313120321120 is 211230213132.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44907541 + ... + 44959019.

It is an arithmetic number, because the mean of its divisors is an integer number (22261599360).

Almost surely, 22313120321120 is an apocalyptic number.

2313120321120 is a gapful number since it is divisible by the number (20) 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 2313120321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4274227077120).

2313120321120 is an abundant number, since it is smaller than the sum of its proper divisors (6235333833120).

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

2313120321120 is a wasteful number, since it uses less digits than its factorization.

2313120321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51858 (or 51850 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2313120321120 its reverse (211230213132), we get a palindrome (2524350534252).

The spelling of 2313120321120 in words is "two trillion, three hundred thirteen billion, one hundred twenty million, three hundred twenty-one thousand, one hundred twenty".