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2142323032113 = 3211172634839997
BaseRepresentation
bin11111001011001100011…
…001110100000000110001
321120210201011201222200200
4133023030121310000301
5240044434144011423
64320100345305413
7310530522213525
oct37131431640061
97523634658620
102142323032113
11756610557380
122a7243795269
131270354a3a84
1475990823d85
153aad7b1ed43
hex1f2cc674031

2142323032113 has 48 divisors (see below), whose sum is σ = 3587948597376. Its totient is φ = 1217355793920.

The previous prime is 2142323032103. The next prime is 2142323032141. The reversal of 2142323032113 is 3112303232412.

2142323032113 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 323 + 0 + 321 + 13 = 666.

It is not a de Polignac number, because 2142323032113 - 26 = 2142323032049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2142323032103) 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 47 ways as a sum of consecutive naturals, for example, 1977370 + ... + 2862627.

It is an arithmetic number, because the mean of its divisors is an integer number (74748929112).

Almost surely, 22142323032113 is an apocalyptic number.

It is an amenable number.

2142323032113 is a deficient number, since it is larger than the sum of its proper divisors (1445625565263).

2142323032113 is a wasteful number, since it uses less digits than its factorization.

2142323032113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4840294 (or 4840291 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 2142323032113 its reverse (3112303232412), we get a palindrome (5254626264525).

The spelling of 2142323032113 in words is "two trillion, one hundred forty-two billion, three hundred twenty-three million, thirty-two thousand, one hundred thirteen".

Divisors: 1 3 9 11 17 33 51 99 153 187 263 561 789 1683 2367 2893 4471 8679 13413 26037 40239 49181 147543 442629 4839997 14519991 43559973 53239967 82279949 159719901 246839847 479159703 740519541 905079439 1272919211 2715238317 3818757633 8145714951 11456272899 14002111321 21639626587 42006333963 64918879761 126019001889 194756639283 238035892457 714107677371 2142323032113