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2142130232241 = 3212722338321943
BaseRepresentation
bin11111001011000000111…
…010010101101110110001
321120210012201221201222200
4133023000322111232301
5240044040314412431
64320025301053413
7310522661355006
oct37130072255661
97523181851880
102142130232241
11756521741a3a
122a71ab0b7269
1312700456aacc
1475972d978ad
153aac5c38ee6
hex1f2c0e95bb1

2142130232241 has 48 divisors (see below), whose sum is σ = 3140858413056. Its totient is φ = 1406741642208.

The previous prime is 2142130232237. The next prime is 2142130232243. The reversal of 2142130232241 is 1422320312412.

2142130232241 is a `hidden beast` number, since 2 + 1 + 421 + 3 + 0 + 232 + 2 + 4 + 1 = 666.

It is not a de Polignac number, because 2142130232241 - 22 = 2142130232237 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2142130232243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97611516 + ... + 97633458.

It is an arithmetic number, because the mean of its divisors is an integer number (65434550272).

Almost surely, 22142130232241 is an apocalyptic number.

It is an amenable number.

2142130232241 is a deficient number, since it is larger than the sum of its proper divisors (998728180815).

2142130232241 is a wasteful number, since it uses less digits than its factorization.

2142130232241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22682 (or 22679 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 2142130232241 its reverse (1422320312412), we get a palindrome (3564450544653).

The spelling of 2142130232241 in words is "two trillion, one hundred forty-two billion, one hundred thirty million, two hundred thirty-two thousand, two hundred forty-one".

Divisors: 1 3 9 127 223 381 383 669 1143 1149 2007 3447 21943 28321 48641 65829 84963 85409 145923 197487 254889 256227 437769 768681 2786761 4893289 8360283 8404169 10846943 14679867 25080849 25212507 32540829 44039601 75637521 97622487 621447703 1067329463 1864343109 1874129687 3201988389 5593029327 5622389061 9605965167 16867167183 238014470249 714043410747 2142130232241