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10102144143 = 3721319278227
BaseRepresentation
bin10010110100010001…
…00111110010001111
3222002000222002112210
421122020213302033
5131142122103033
64350232001503
7505224544200
oct113210476217
928060862483
1010102144143
114314440463
121b5b230293
13c4cc01bb0
146bb9515a7
153e1d37d63
hex25a227c8f

10102144143 has 48 divisors (see below), whose sum is σ = 17762075520. Its totient is φ = 5048132544.

The previous prime is 10102144133. The next prime is 10102144147. The reversal of 10102144143 is 34144120101.

10102144143 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10102144143 - 212 = 10102140047 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102144147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102805 + ... + 175422.

It is an arithmetic number, because the mean of its divisors is an integer number (370043240).

Almost surely, 210102144143 is an apocalyptic number.

10102144143 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10102144143 is a deficient number, since it is larger than the sum of its proper divisors (7659931377).

10102144143 is a wasteful number, since it uses less digits than its factorization.

10102144143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278276 (or 278269 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10102144143 its reverse (34144120101), we get a palindrome (44246264244).

The spelling of 10102144143 in words is "ten billion, one hundred two million, one hundred forty-four thousand, one hundred forty-three".

Divisors: 1 3 7 13 19 21 39 49 57 91 133 147 247 273 399 637 741 931 1729 1911 2793 5187 12103 36309 278227 834681 1947589 3616951 5286313 5842767 10850853 13633123 15858939 25318657 37004191 40899369 68722069 75955971 111012573 177230599 206166207 259029337 481054483 531691797 777088011 1443163449 3367381381 10102144143