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2143142001 = 32711132310343
BaseRepresentation
bin111111110111101…
…1100000001110001
312112100200220010200
41333233130001301
513342121021001
6552354545413
7104052256260
oct17757340161
95470626120
102143142001
119aa825340
124b9898269
13282014880
141648ba5d7
15c823a086
hex7fbdc071

2143142001 has 96 divisors (see below), whose sum is σ = 4337528832. Its totient is φ = 982903680.

The previous prime is 2143141999. The next prime is 2143142011. The reversal of 2143142001 is 1002413412.

2143142001 is a `hidden beast` number, since 214 + 31 + 420 + 0 + 1 = 666.

It is not a de Polignac number, because 2143142001 - 21 = 2143141999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2143142011) 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 95 ways as a sum of consecutive naturals, for example, 202036 + ... + 212378.

It is an arithmetic number, because the mean of its divisors is an integer number (45182592).

Almost surely, 22143142001 is an apocalyptic number.

2143142001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2143142001 is an abundant number, since it is smaller than the sum of its proper divisors (2194386831).

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

2143142001 is a wasteful number, since it uses less digits than its factorization.

2143142001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10403 (or 10400 counting only the distinct ones).

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

The square root of 2143142001 is about 46294.0817059805. The cubic root of 2143142001 is about 1289.2891143606.

Adding to 2143142001 its reverse (1002413412), we get a palindrome (3145555413).

The spelling of 2143142001 in words is "two billion, one hundred forty-three million, one hundred forty-two thousand, one".

Divisors: 1 3 7 9 11 13 21 23 33 39 63 69 77 91 99 117 143 161 207 231 253 273 299 429 483 693 759 819 897 1001 1287 1449 1771 2093 2277 2691 3003 3289 5313 6279 9009 9867 10343 15939 18837 23023 29601 31029 69069 72401 93087 113773 134459 207207 217203 237889 341319 403377 651609 713667 796411 941213 1023957 1210131 1479049 1665223 2141001 2389233 2616779 2823639 3092557 4437147 4995669 7167699 7850337 8470917 9277671 10353343 13311441 14987007 18317453 21647899 23551011 27833013 31060029 34018127 54952359 64943697 93180087 102054381 164857077 194831091 238126889 306163143 714380667 2143142001