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2141061167 = 71092806109
BaseRepresentation
bin111111110011110…
…0000000000101111
312112012210011202202
41333213200000233
513341102424132
6552242212115
7104025501560
oct17747400057
95465704682
102141061167
119a9633a43
124b905403b
132817666cb
141644d8167
15c7e78762
hex7f9e002f

2141061167 has 8 divisors (see below), whose sum is σ = 2469376800. Its totient is φ = 1818357984.

The previous prime is 2141061157. The next prime is 2141061173. The reversal of 2141061167 is 7611601412.

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 2141061167 - 212 = 2141057071 is a prime.

It is a super-3 number, since 3×21410611673 (a number of 29 digits) contains 333 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 (2141061157) 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 7 ways as a sum of consecutive naturals, for example, 1402292 + ... + 1403817.

It is an arithmetic number, because the mean of its divisors is an integer number (308672100).

Almost surely, 22141061167 is an apocalyptic number.

2141061167 is a deficient number, since it is larger than the sum of its proper divisors (328315633).

2141061167 is a wasteful number, since it uses less digits than its factorization.

2141061167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806225.

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 2141061167 is about 46271.6021659073. The cubic root of 2141061167 is about 1288.8717107916.

Adding to 2141061167 its reverse (7611601412), we get a palindrome (9752662579).

The spelling of 2141061167 in words is "two billion, one hundred forty-one million, sixty-one thousand, one hundred sixty-seven".

Divisors: 1 7 109 763 2806109 19642763 305865881 2141061167