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2313121320 = 233351727411
BaseRepresentation
bin1000100111011111…
…0110111000101000
312222012112201221000
42021313312320220
514214124340240
61021310115000
7111215130636
oct21167667050
95865481830
102313121320
11a87773314
125467aba60
132ab2ba653
1417d2c6356
15d8114430
hex89df6e28

2313121320 has 192 divisors, whose sum is σ = 8191742400. Its totient is φ = 580469760.

The previous prime is 2313121319. The next prime is 2313121357. The reversal of 2313121320 is 231213132.

2313121320 is a `hidden beast` number, since 2 + 31 + 312 + 1 + 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 = 2313121293 and 2313121302.

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 47 ways as a sum of consecutive naturals, for example, 308415 + ... + 315825.

It is an arithmetic number, because the mean of its divisors is an integer number (42665325).

Almost surely, 22313121320 is an apocalyptic number.

2313121320 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 2313121320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4095871200).

2313121320 is an abundant number, since it is smaller than the sum of its proper divisors (5878621080).

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

2313121320 is a wasteful number, since it uses less digits than its factorization.

2313121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7465 (or 7438 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2313121320 is about 48094.9198980516. The cubic root of 2313121320 is about 1322.5115406194.

Adding to 2313121320 its reverse (231213132), we get a palindrome (2544334452).

It can be divided in two parts, 2313121 and 320, that added together give a 4-th power (2313441 = 394).

The spelling of 2313121320 in words is "two billion, three hundred thirteen million, one hundred twenty-one thousand, three hundred twenty".