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2313031020300 = 2232527211132337431
BaseRepresentation
bin100001101010001011011…
…001000110111100001100
322012010100002221022000200
4201222023121012330030
5300344041420122200
64530331454053500
7326053031163300
oct41521331067414
98163302838020
102313031020300
11811a5078a550
123143454aa290
1313a16c006180
147dd46513d00
15402796b9800
hex21a8b646f0c

2313031020300 has 2592 divisors, whose sum is σ = 10643042801664. Its totient is φ = 411941376000.

The previous prime is 2313031020257. The next prime is 2313031020343. The reversal of 2313031020300 is 30201303132.

2313031020300 is a `hidden beast` number, since 2 + 3 + 1 + 30 + 310 + 20 + 300 = 666.

It is an interprime number because it is at equal distance from previous prime (2313031020257) and next prime (2313031020343).

It is a super-2 number, since 2×23130310203002 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 863 ways as a sum of consecutive naturals, for example, 5366661085 + ... + 5366661515.

It is an arithmetic number, because the mean of its divisors is an integer number (4106112192).

Almost surely, 22313031020300 is an apocalyptic number.

2313031020300 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 2313031020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5321521400832).

2313031020300 is an abundant number, since it is smaller than the sum of its proper divisors (8330011781364).

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

2313031020300 is a wasteful number, since it uses less digits than its factorization.

2313031020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 532 counting only the distinct ones).

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

Adding to 2313031020300 its reverse (30201303132), we get a palindrome (2343232323432).

It can be divided in two parts, 23130310 and 20300, that added together give a triangular number (23150610 = T6804).

The spelling of 2313031020300 in words is "two trillion, three hundred thirteen billion, thirty-one million, twenty thousand, three hundred".