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2120214141 = 327111329363
BaseRepresentation
bin111111001011111…
…1110011001111101
312110202120001000200
41332113332121331
513320233323031
6550215314113
7103353344223
oct17627763175
95422501020
102120214141
119988952a1
124b207b939
1327a3478a6
1416182cb13
15c620b8e6
hex7e5fe67d

2120214141 has 24 divisors (see below), whose sum is σ = 3133256256. Its totient is φ = 1381188480.

The previous prime is 2120214137. The next prime is 2120214169. The reversal of 2120214141 is 1414120212.

It is not a de Polignac number, because 2120214141 - 22 = 2120214137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120214191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57526 + ... + 86888.

It is an arithmetic number, because the mean of its divisors is an integer number (130552344).

Almost surely, 22120214141 is an apocalyptic number.

It is an amenable number.

2120214141 is a deficient number, since it is larger than the sum of its proper divisors (1013042115).

2120214141 is a wasteful number, since it uses less digits than its factorization.

2120214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29553 (or 29550 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 2120214141 is about 46045.7830968266. The cubic root of 2120214141 is about 1284.6749097637.

Adding to 2120214141 its reverse (1414120212), we get a palindrome (3534334353).

The spelling of 2120214141 in words is "two billion, one hundred twenty million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 9 71 113 213 339 639 1017 8023 24069 29363 72207 88089 264267 2084773 3318019 6254319 9954057 18762957 29862171 235579349 706738047 2120214141