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2142103215 = 357128315901
BaseRepresentation
bin111111110101101…
…1110011010101111
312112021202010012010
41333223132122233
513341334300330
6552320412303
7104040401610
oct17753363257
95467663163
102142103215
119aa18593a
124b9477093
13281a3cac5
141646c9c07
15c80d23b0
hex7fade6af

2142103215 has 32 divisors (see below), whose sum is σ = 3920288256. Its totient is φ = 978422400.

The previous prime is 2142103213. The next prime is 2142103219. The reversal of 2142103215 is 5123012412.

It is not a de Polignac number, because 2142103215 - 21 = 2142103213 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 2142103191 and 2142103200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142103213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126765 + ... + 142665.

It is an arithmetic number, because the mean of its divisors is an integer number (122509008).

Almost surely, 22142103215 is an apocalyptic number.

2142103215 is a deficient number, since it is larger than the sum of its proper divisors (1778185041).

2142103215 is a wasteful number, since it uses less digits than its factorization.

2142103215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17199.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2142103215 is about 46282.8609206475. The cubic root of 2142103215 is about 1289.0807735342.

Adding to 2142103215 its reverse (5123012412), we get a palindrome (7265115627).

The spelling of 2142103215 in words is "two billion, one hundred forty-two million, one hundred three thousand, two hundred fifteen".

Divisors: 1 3 5 7 15 21 35 105 1283 3849 6415 8981 15901 19245 26943 44905 47703 79505 111307 134715 238515 333921 556535 1669605 20400983 61202949 102004915 142806881 306014745 428420643 714034405 2142103215