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2120412217 = 711192116869
BaseRepresentation
bin111111001100010…
…1110110000111001
312110202221002201211
41332120232300321
513320311142332
6550223443121
7103355130550
oct17630566071
95422832654
102120412217
11998a100a0
124b21564a1
1327a3b6ab1
14161880d97
15c624a447
hex7e62ec39

2120412217 has 32 divisors (see below), whose sum is σ = 2796364800. Its totient is φ = 1557662400.

The previous prime is 2120412197. The next prime is 2120412223. The reversal of 2120412217 is 7122140212.

It is a de Polignac number, because none of the positive numbers 2k-2120412217 is a prime.

It is a super-2 number, since 2×21204122172 = 8992295940005710178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120412017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305259 + ... + 312127.

It is an arithmetic number, because the mean of its divisors is an integer number (87386400).

Almost surely, 22120412217 is an apocalyptic number.

It is an amenable number.

2120412217 is a deficient number, since it is larger than the sum of its proper divisors (675952583).

2120412217 is a wasteful number, since it uses less digits than its factorization.

2120412217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7117.

The product of its (nonzero) digits is 448, while the sum is 22.

The square root of 2120412217 is about 46047.9339058768. The cubic root of 2120412217 is about 1284.7149144247.

Adding to 2120412217 its reverse (7122140212), we get a palindrome (9242552429).

The spelling of 2120412217 in words is "two billion, one hundred twenty million, four hundred twelve thousand, two hundred seventeen".

Divisors: 1 7 11 19 77 133 209 211 1463 1477 2321 4009 6869 16247 28063 44099 48083 75559 130511 308693 528913 913577 1435621 1449359 10049347 10145513 15942949 27537821 111600643 192764747 302916031 2120412217