Search a number
-
+
2120111310 = 235175970459
BaseRepresentation
bin111111001011110…
…0101010011001110
312110202100210222010
41332113211103032
513320222030220
6550213202050
7103352435352
oct17627452316
95422323863
102120111310
11998825009
124b2030326
1327a30cb45
14161803462
15c61db1e0
hex7e5e54ce

2120111310 has 64 divisors (see below), whose sum is σ = 5478969600. Its totient is φ = 523080192.

The previous prime is 2120111309. The next prime is 2120111321. The reversal of 2120111310 is 131110212.

It is a super-2 number, since 2×21201113102 = 8989743933579832200, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 5140 + ... + 65319.

It is an arithmetic number, because the mean of its divisors is an integer number (85608900).

Almost surely, 22120111310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120111310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739484800).

2120111310 is an abundant number, since it is smaller than the sum of its proper divisors (3358858290).

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

2120111310 is a wasteful number, since it uses less digits than its factorization.

2120111310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70545.

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

The square root of 2120111310 is about 46044.6664663781. Note that the first 3 decimals coincide. The cubic root of 2120111310 is about 1284.6541403929.

Adding to 2120111310 its reverse (131110212), we get a palindrome (2251221522).

The spelling of 2120111310 in words is "two billion, one hundred twenty million, one hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 59 85 102 118 170 177 255 295 354 510 590 885 1003 1770 2006 3009 5015 6018 10030 15045 30090 70459 140918 211377 352295 422754 704590 1056885 1197803 2113770 2395606 3593409 4157081 5989015 7186818 8314162 11978030 12471243 17967045 20785405 24942486 35934090 41570810 62356215 70670377 124712430 141340754 212011131 353351885 424022262 706703770 1060055655 2120111310