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2030211120 = 243572295953
BaseRepresentation
bin111100100000010…
…1001000000110000
312020111012102002110
41321000221000300
513124213223440
6533242245320
7101211336600
oct17100510060
95214172073
102030211120
11952001733
12487ab6840
132647c4472
141538c0c00
15bd37e080
hex79029030

2030211120 has 240 divisors, whose sum is σ = 7574916960. Its totient is φ = 447971328.

The previous prime is 2030211119. The next prime is 2030211121. The reversal of 2030211120 is 211120302.

It is an interprime number because it is at equal distance from previous prime (2030211119) and next prime (2030211121).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2030211096 and 2030211105.

It is not an unprimeable number, because it can be changed into a prime (2030211121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338064 + ... + 344016.

It is an arithmetic number, because the mean of its divisors is an integer number (31562154).

Almost surely, 22030211120 is an apocalyptic number.

2030211120 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 2030211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787458480).

2030211120 is an abundant number, since it is smaller than the sum of its proper divisors (5544705840).

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

2030211120 is a wasteful number, since it uses less digits than its factorization.

2030211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 5999 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2030211120 is about 45057.8641304712. The cubic root of 2030211120 is about 1266.2333100502.

Adding to 2030211120 its reverse (211120302), we get a palindrome (2241331422).

The spelling of 2030211120 in words is "two billion, thirty million, two hundred eleven thousand, one hundred twenty".