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2013102132 = 223414091671
BaseRepresentation
bin111011111111101…
…1000000000110100
312012022000011222020
41313333120000310
513110323232012
6531431433140
7100613041266
oct16777300064
95168004866
102013102132
11943386478
124822257b0
132610b3bc2
14151509b36
15bbaeea8c
hex77fd8034

2013102132 has 24 divisors (see below), whose sum is σ = 4811806272. Its totient is φ = 654667200.

The previous prime is 2013102103. The next prime is 2013102181. The reversal of 2013102132 is 2312013102.

It is a congruent number.

It is an unprimeable number.

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, 2045344 + ... + 2046327.

It is an arithmetic number, because the mean of its divisors is an integer number (200491928).

Almost surely, 22013102132 is an apocalyptic number.

It is an amenable number.

2013102132 is an abundant number, since it is smaller than the sum of its proper divisors (2798704140).

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

2013102132 is a wasteful number, since it uses less digits than its factorization.

2013102132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4091719 (or 4091717 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2013102132 is about 44867.6067113012. The cubic root of 2013102132 is about 1262.6663390544. Note that the first 3 decimals are identical.

Adding to 2013102132 its reverse (2312013102), we get a palindrome (4325115234).

The spelling of 2013102132 in words is "two billion, thirteen million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 492 4091671 8183342 12275013 16366684 24550026 49100052 167758511 335517022 503275533 671034044 1006551066 2013102132