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1300123020 = 223573783663
BaseRepresentation
bin100110101111110…
…0100110110001100
310100121102002111110
41031133210312030
510130312414040
6333002052020
744134602060
oct11537446614
93317362443
101300123020
11607981739
123034aa010
1317947bc81
14c4953aa0
1579216980
hex4d7e4d8c

1300123020 has 96 divisors (see below), whose sum is σ = 4272887808. Its totient is φ = 289135872.

The previous prime is 1300123009. The next prime is 1300123031. The reversal of 1300123020 is 203210031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1300123009) and next prime (1300123031).

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 = 1300122987 and 1300123005.

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 31 ways as a sum of consecutive naturals, for example, 26292 + ... + 57371.

It is an arithmetic number, because the mean of its divisors is an integer number (44509248).

Almost surely, 21300123020 is an apocalyptic number.

1300123020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1300123020 is an abundant number, since it is smaller than the sum of its proper divisors (2972764788).

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

1300123020 is a wasteful number, since it uses less digits than its factorization.

1300123020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83719 (or 83717 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1300123020 is about 36057.2186947357. The cubic root of 1300123020 is about 1091.4273084246.

Adding to 1300123020 its reverse (203210031), we get a palindrome (1503333051).

The spelling of 1300123020 in words is "one billion, three hundred million, one hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 3108 3885 5180 7770 15540 83663 167326 250989 334652 418315 501978 585641 836630 1003956 1171282 1254945 1673260 1756923 2342564 2509890 2928205 3095531 3513846 5019780 5856410 6191062 7027692 8784615 9286593 11712820 12382124 15477655 17569230 18573186 21668717 30955310 35138460 37146372 43337434 46432965 61910620 65006151 86674868 92865930 108343585 130012302 185731860 216687170 260024604 325030755 433374340 650061510 1300123020