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2142132021 = 33157505339
BaseRepresentation
bin111111110101110…
…0101011100110101
312112021210120201000
41333223211130311
513341341211041
6552321153513
7104040551601
oct17753453465
95467716630
102142132021
119aa1a5547
124b948b899
13281a4cc53
141646d6501
15c80dabb6
hex7fae5735

2142132021 has 16 divisors (see below), whose sum is σ = 3193748800. Its totient is φ = 1418989104.

The previous prime is 2142132017. The next prime is 2142132037. The reversal of 2142132021 is 1202312412.

It is a happy number.

It is not a de Polignac number, because 2142132021 - 22 = 2142132017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2142131985 and 2142132003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142132521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248431 + ... + 256908.

It is an arithmetic number, because the mean of its divisors is an integer number (199609300).

Almost surely, 22142132021 is an apocalyptic number.

It is an amenable number.

2142132021 is a deficient number, since it is larger than the sum of its proper divisors (1051616779).

2142132021 is a wasteful number, since it uses less digits than its factorization.

2142132021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505505 (or 505499 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2142132021 is about 46283.1721147114. The cubic root of 2142132021 is about 1289.0865518263.

Adding to 2142132021 its reverse (1202312412), we get a palindrome (3344444433).

The spelling of 2142132021 in words is "two billion, one hundred forty-two million, one hundred thirty-two thousand, twenty-one".

Divisors: 1 3 9 27 157 471 1413 4239 505339 1516017 4548051 13644153 79338223 238014669 714044007 2142132021