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2140102133 = 13414015201
BaseRepresentation
bin111111110001111…
…0101110111110101
312112010222110012222
41333203311313311
513340331232013
6552205452125
7104014365551
oct17743656765
95463873188
102140102133
119a9039454
124b8871045
132814bc030
14164328861
15c7d39508
hex7f8f5df5

2140102133 has 8 divisors (see below), whose sum is σ = 2360938776. Its totient is φ = 1927296000.

The previous prime is 2140102127. The next prime is 2140102157. The reversal of 2140102133 is 3312010412.

It can be written as a sum of positive squares in 4 ways, for example, as 297804049 + 1842298084 = 17257^2 + 42922^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2140102133 - 210 = 2140101109 is a prime.

It is a super-2 number, since 2×21401021332 = 9160074279342299378, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140102123) 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 7 ways as a sum of consecutive naturals, for example, 2007068 + ... + 2008133.

It is an arithmetic number, because the mean of its divisors is an integer number (295117347).

Almost surely, 22140102133 is an apocalyptic number.

It is an amenable number.

2140102133 is a deficient number, since it is larger than the sum of its proper divisors (220836643).

2140102133 is a wasteful number, since it uses less digits than its factorization.

2140102133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4015255.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2140102133 is about 46261.2379103716. The cubic root of 2140102133 is about 1288.6792429299.

Adding to 2140102133 its reverse (3312010412), we get a palindrome (5452112545).

The spelling of 2140102133 in words is "two billion, one hundred forty million, one hundred two thousand, one hundred thirty-three".

Divisors: 1 13 41 533 4015201 52197613 164623241 2140102133