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2301111020 = 2251389277359
BaseRepresentation
bin1000100100101000…
…0010101011101100
312221100221112220002
42021022002223230
514203041023040
61020200443432
7111011056325
oct21112025354
95840845802
102301111020
11a80a0a84a
12542779578
132a8973a70
1417b87b44c
15d7040a15
hex89282aec

2301111020 has 96 divisors (see below), whose sum is σ = 5296233600. Its totient is φ = 834729984.

The previous prime is 2301111011. The next prime is 2301111083. The reversal of 2301111020 is 201111032.

It is a super-2 number, since 2×23011110202 = 10590223852730880800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2301110992 and 2301111010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6409601 + ... + 6409959.

It is an arithmetic number, because the mean of its divisors is an integer number (55169100).

Almost surely, 22301111020 is an apocalyptic number.

2301111020 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 2301111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648116800).

2301111020 is an abundant number, since it is smaller than the sum of its proper divisors (2995122580).

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

2301111020 is a wasteful number, since it uses less digits than its factorization.

2301111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 2301111020 is about 47969.8970188597. The cubic root of 2301111020 is about 1320.2186315241.

Adding to 2301111020 its product of nonzero digits (12), we get a palindrome (2301111032).

Adding to 2301111020 its reverse (201111032), we get a palindrome (2502222052).

The spelling of 2301111020 in words is "two billion, three hundred one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 277 356 359 445 554 718 890 1108 1157 1385 1436 1780 1795 2314 2770 3590 3601 4628 4667 5540 5785 7180 7202 9334 11570 14404 18005 18668 23140 23335 24653 31951 36010 46670 49306 63902 72020 93340 98612 99443 123265 127804 159755 198886 246530 319510 320489 397772 415363 493060 497215 639020 640978 830726 994430 1281956 1292759 1602445 1661452 1988860 2076815 2585518 3204890 4153630 5171036 6409780 6463795 8307260 8850427 12927590 17700854 25855180 35401708 44252135 88504270 115055551 177008540 230111102 460222204 575277755 1150555510 2301111020