Search a number
-
+
2112021219 = 37119142949
BaseRepresentation
bin111110111100010…
…1110001011100011
312110012010210110010
41331320232023203
513311134134334
6545323540003
7103223612160
oct17570561343
95405123403
102112021219
119941a9890
124ab38a603
132787396c9
141606d9067
15c563e0e9
hex7de2e2e3

2112021219 has 16 divisors (see below), whose sum is σ = 3510892800. Its totient is φ = 1097153760.

The previous prime is 2112021217. The next prime is 2112021229. The reversal of 2112021219 is 9121202112.

It is not a de Polignac number, because 2112021219 - 21 = 2112021217 is a prime.

It is a super-2 number, since 2×21120212192 = 8921267259012491922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2112021195 and 2112021204.

It is not an unprimeable number, because it can be changed into a prime (2112021217) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4571244 + ... + 4571705.

It is an arithmetic number, because the mean of its divisors is an integer number (219430800).

Almost surely, 22112021219 is an apocalyptic number.

2112021219 is a deficient number, since it is larger than the sum of its proper divisors (1398871581).

2112021219 is a wasteful number, since it uses less digits than its factorization.

2112021219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9142970.

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 2112021219 is about 45956.7320313357. The cubic root of 2112021219 is about 1283.0180287435.

The spelling of 2112021219 in words is "two billion, one hundred twelve million, twenty-one thousand, two hundred nineteen".

Divisors: 1 3 7 11 21 33 77 231 9142949 27428847 64000643 100572439 192001929 301717317 704007073 2112021219