Search a number
-
+
2120030010 = 23457373903
BaseRepresentation
bin111111001011101…
…0001011100111010
312110202012200110000
41332113101130322
513320211430020
6550211333430
7103351646340
oct17627213472
95422180400
102120030010
11998779a1a
124b1bb1276
1327a2b1b37
141617c1990
15c61c2090
hex7e5d173a

2120030010 has 80 divisors (see below), whose sum is σ = 6514903296. Its totient is φ = 484576992.

The previous prime is 2120029981. The next prime is 2120030023. The reversal of 2120030010 is 100300212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2120029974 and 2120030001.

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 39 ways as a sum of consecutive naturals, for example, 181282 + ... + 192621.

Almost surely, 22120030010 is an apocalyptic number.

2120030010 is an abundant number, since it is smaller than the sum of its proper divisors (4394873286).

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

2120030010 is a wasteful number, since it uses less digits than its factorization.

2120030010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373929 (or 373920 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 2120030010 is about 46043.7836195072. The cubic root of 2120030010 is about 1284.6377192870.

Adding to 2120030010 its reverse (100300212), we get a palindrome (2220330222).

The spelling of 2120030010 in words is "two billion, one hundred twenty million, thirty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 373903 747806 1121709 1869515 2243418 2617321 3365127 3739030 5234642 5608545 6730254 7851963 10095381 11217090 13086605 15703926 16825635 20190762 23555889 26173210 30286143 33651270 39259815 47111778 50476905 60572286 70667667 78519630 100953810 117779445 141335334 151430715 212003001 235558890 302861430 353338335 424006002 706676670 1060015005 2120030010