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2142112301 = 72116532221
BaseRepresentation
bin111111110101110…
…0000101000101101
312112021202120122122
41333223200220231
513341340043201
6552320522325
7104040440240
oct17753405055
95467676578
102142112301
119aa19174a
124b94803a5
13281a43c94
141646cd257
15c80d4e1b
hex7fae0a2d

2142112301 has 16 divisors (see below), whose sum is σ = 2464606848. Its totient is φ = 1823774400.

The previous prime is 2142112277. The next prime is 2142112303. The reversal of 2142112301 is 1032112412.

It is not a de Polignac number, because 2142112301 - 222 = 2137917997 is a prime.

It is a super-3 number, since 3×21421123013 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142112301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142112303) 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, 963371 + ... + 965591.

It is an arithmetic number, because the mean of its divisors is an integer number (154037928).

Almost surely, 22142112301 is an apocalyptic number.

It is an amenable number.

2142112301 is a deficient number, since it is larger than the sum of its proper divisors (322494547).

2142112301 is a wasteful number, since it uses less digits than its factorization.

2142112301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3092.

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2142112301 is about 46282.9590778291. The cubic root of 2142112301 is about 1289.0825961310.

Adding to 2142112301 its reverse (1032112412), we get a palindrome (3174224713).

The spelling of 2142112301 in words is "two billion, one hundred forty-two million, one hundred twelve thousand, three hundred one".

Divisors: 1 7 211 653 1477 2221 4571 15547 137783 468631 964481 1450313 3280417 10152191 306016043 2142112301