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2141065134 = 232139149851
BaseRepresentation
bin111111110011110…
…0000111110101110
312112012210101012200
41333213200332232
513341103041014
6552242242330
7104025516255
oct17747407656
95465711180
102141065134
119a9636a1a
124b90563a6
13281768460
141644d979c
15c7e79a09
hex7f9e0fae

2141065134 has 24 divisors (see below), whose sum is σ = 4995819192. Its totient is φ = 658789200.

The previous prime is 2141065123. The next prime is 2141065139. The reversal of 2141065134 is 4315601412.

It is a happy number.

2141065134 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 0 + 651 + 3 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2141065098 and 2141065107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141065139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4574692 + ... + 4575159.

It is an arithmetic number, because the mean of its divisors is an integer number (208159133).

Almost surely, 22141065134 is an apocalyptic number.

2141065134 is an abundant number, since it is smaller than the sum of its proper divisors (2854754058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2141065134 is a wasteful number, since it uses less digits than its factorization.

2141065134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9149872 (or 9149869 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 2141065134 is about 46271.6450323522. The cubic root of 2141065134 is about 1288.8725068067.

Adding to 2141065134 its reverse (4315601412), we get a palindrome (6456666546).

The spelling of 2141065134 in words is "two billion, one hundred forty-one million, sixty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 9149851 18299702 27449553 54899106 82348659 118948063 164697318 237896126 356844189 713688378 1070532567 2141065134