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2142031125 = 353133491259
BaseRepresentation
bin111111110101100…
…1100110100010101
312112021121110022010
41333223030310111
513341324444000
6552315054433
7104036651463
oct17753146425
95467543263
102142031125
119aa136763
124b9441419
13281a16050
141646ab833
15c80bad50
hex7faccd15

2142031125 has 64 divisors (see below), whose sum is σ = 3852576000. Its totient is φ = 1050681600.

The previous prime is 2142031123. The next prime is 2142031141. The reversal of 2142031125 is 5211302412.

It is not a de Polignac number, because 2142031125 - 21 = 2142031123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142031123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1700746 + ... + 1702004.

It is an arithmetic number, because the mean of its divisors is an integer number (60196500).

Almost surely, 22142031125 is an apocalyptic number.

2142031125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2142031125 is a deficient number, since it is larger than the sum of its proper divisors (1710544875).

2142031125 is a wasteful number, since it uses less digits than its factorization.

2142031125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2142031125 is about 46282.0821160846. The cubic root of 2142031125 is about 1289.0663125323.

Adding to 2142031125 its reverse (5211302412), we get a palindrome (7353333537).

The spelling of 2142031125 in words is "two billion, one hundred forty-two million, thirty-one thousand, one hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 125 195 325 349 375 975 1047 1259 1625 1745 3777 4537 4875 5235 6295 8725 13611 16367 18885 22685 26175 31475 43625 49101 68055 81835 94425 113425 130875 157375 245505 340275 409175 439391 472125 567125 1227525 1318173 1701375 2045875 2196955 5712083 6137625 6590865 10984775 17136249 28560415 32954325 54923875 85681245 142802075 164771625 428406225 714010375 2142031125