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2122004141 = 17275345341
BaseRepresentation
bin111111001111011…
…0011011010101101
312110212220222102222
41332132303122231
513321213113031
6550321525125
7103404510665
oct17636633255
95425828388
102122004141
119998a8134
124b27a37a5
1327a82356a
14161b771a5
15c6461e7b
hex7e7b36ad

2122004141 has 8 divisors (see below), whose sum is σ = 2247693624. Its totient is φ = 1996410880.

The previous prime is 2122004123. The next prime is 2122004161. The reversal of 2122004141 is 1414002212.

It can be written as a sum of positive squares in 4 ways, for example, as 379275625 + 1742728516 = 19475^2 + 41746^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2122004141 - 230 = 1048262317 is a prime.

It is a super-2 number, since 2×21220041412 = 9005803148842295762, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122004161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24131 + ... + 69471.

It is an arithmetic number, because the mean of its divisors is an integer number (280961703).

Almost surely, 22122004141 is an apocalyptic number.

It is an amenable number.

2122004141 is a deficient number, since it is larger than the sum of its proper divisors (125689483).

2122004141 is a wasteful number, since it uses less digits than its factorization.

2122004141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48111.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2122004141 is about 46065.2161722921. The cubic root of 2122004141 is about 1285.0363388614.

Adding to 2122004141 its reverse (1414002212), we get a palindrome (3536006353).

The spelling of 2122004141 in words is "two billion, one hundred twenty-two million, four thousand, one hundred forty-one".

Divisors: 1 17 2753 45341 46801 770797 124823773 2122004141