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2313103320 = 23325111971433
BaseRepresentation
bin1000100111011111…
…0010011111011000
312222012111211020100
42021313302133120
514214123301240
61021305455400
7111215024313
oct21167623730
95865454210
102313103320
11a87760840
125467a1560
132ab2b23b8
1417d2bd97a
15d810de30
hex89df27d8

2313103320 has 384 divisors, whose sum is σ = 8774438400. Its totient is φ = 522547200.

The previous prime is 2313103291. The next prime is 2313103321. The reversal of 2313103320 is 233013132.

2313103320 is a `hidden beast` number, since 2 + 31 + 310 + 3 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2313103293 and 2313103302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313103321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5341824 + ... + 5342256.

It is an arithmetic number, because the mean of its divisors is an integer number (22850100).

Almost surely, 22313103320 is an apocalyptic number.

2313103320 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 2313103320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4387219200).

2313103320 is an abundant number, since it is smaller than the sum of its proper divisors (6461335080).

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

2313103320 is a wasteful number, since it uses less digits than its factorization.

2313103320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 2313103320 is about 48094.7327677366. The cubic root of 2313103320 is about 1322.5081101509.

Adding to 2313103320 its reverse (233013132), we get a palindrome (2546116452).

The spelling of 2313103320 in words is "two billion, three hundred thirteen million, one hundred three thousand, three hundred twenty".