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2142121324 = 227263461631
BaseRepresentation
bin111111110101110…
…0010110101101100
312112021210001000211
41333223202311230
513341340340244
6552321032204
7104040505450
oct17753426554
95467701024
102142121324
119aa198502
124b9485664
13281a48115
141646d2660
15c80d7934
hex7fae2d6c

2142121324 has 48 divisors (see below), whose sum is σ = 4316691456. Its totient is φ = 911131200.

The previous prime is 2142121321. The next prime is 2142121349. The reversal of 2142121324 is 4231212412.

It is a junction number, because it is equal to n+sod(n) for n = 2142121295 and 2142121304.

It is not an unprimeable number, because it can be changed into a prime (2142121321) 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, 3394489 + ... + 3395119.

It is an arithmetic number, because the mean of its divisors is an integer number (89931072).

Almost surely, 22142121324 is an apocalyptic number.

It is an amenable number.

2142121324 is an abundant number, since it is smaller than the sum of its proper divisors (2174570132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2142121324 is a wasteful number, since it uses less digits than its factorization.

2142121324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1366 (or 1364 counting only the distinct ones).

The product of its digits is 768, while the sum is 22.

The square root of 2142121324 is about 46283.0565542078. The cubic root of 2142121324 is about 1289.0844060852.

Adding to 2142121324 its reverse (4231212412), we get a palindrome (6373333736).

The spelling of 2142121324 in words is "two billion, one hundred forty-two million, one hundred twenty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 263 461 526 631 922 1052 1262 1841 1844 2524 3227 3682 4417 6454 7364 8834 12908 17668 121243 165953 242486 290891 331906 484972 581782 663812 848701 1161671 1163564 1697402 2036237 2323342 3394804 4072474 4646684 8144948 76504333 153008666 306017332 535530331 1071060662 2142121324