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2132000311 = 71736074967
BaseRepresentation
bin111111100010011…
…1011111000110111
312111120201211121111
41333010323320313
513331243002221
6551320055451
7103555463230
oct17704737067
95446654544
102132000311
119a4505431
124b6004587
1327c91345c
1416321a087
15c7288be1
hex7f13be37

2132000311 has 16 divisors (see below), whose sum is σ = 2581134336. Its totient is φ = 1719110016.

The previous prime is 2132000291. The next prime is 2132000327. The reversal of 2132000311 is 1130002312.

It is a cyclic number.

It is not a de Polignac number, because 2132000311 - 225 = 2098445879 is a prime.

It is a super-2 number, since 2×21320003112 = 9090850652208193442, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2132000291 and 2132000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132000411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426750 + ... + 431716.

It is an arithmetic number, because the mean of its divisors is an integer number (161320896).

Almost surely, 22132000311 is an apocalyptic number.

2132000311 is a deficient number, since it is larger than the sum of its proper divisors (449134025).

2132000311 is a wasteful number, since it uses less digits than its factorization.

2132000311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2132000311 is about 46173.5888901870. The cubic root of 2132000311 is about 1287.0509946676.

Adding to 2132000311 its reverse (1130002312), we get a palindrome (3262002623).

The spelling of 2132000311 in words is "two billion, one hundred thirty-two million, three hundred eleven", and thus it is an aban number.

Divisors: 1 7 17 119 3607 4967 25249 34769 61319 84439 429233 591073 17915969 125411783 304571473 2132000311