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132002013011 = 111923107256639
BaseRepresentation
bin111101011101111101…
…1101101111101010011
3110121201110002001011212
41322323323231331103
54130320003404021
6140350233130335
712352063411661
oct1727373557523
9417643061155
10132002013011
1150a88771140
12216bb2599ab
13c5a88a520b
146563329c31
1536789c285b
hex1ebbeedf53

132002013011 has 32 divisors (see below), whose sum is σ = 159650611200. Its totient is φ = 107726366880.

The previous prime is 132002012999. The next prime is 132002013053. The reversal of 132002013011 is 110310200231.

It is a de Polignac number, because none of the positive numbers 2k-132002013011 is a prime.

It is a super-2 number, since 2×1320020130112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132002013061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 386030 + ... + 642668.

It is an arithmetic number, because the mean of its divisors is an integer number (4989081600).

Almost surely, 2132002013011 is an apocalyptic number.

132002013011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

132002013011 is a deficient number, since it is larger than the sum of its proper divisors (27648598189).

132002013011 is a wasteful number, since it uses less digits than its factorization.

132002013011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256799.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132002013011 its reverse (110310200231), we get a palindrome (242312213242).

The spelling of 132002013011 in words is "one hundred thirty-two billion, two million, thirteen thousand, eleven".

Divisors: 1 11 19 23 107 209 253 437 1177 2033 2461 4807 22363 27071 46759 256639 514349 2823029 4876141 5902697 27460373 53637551 64929667 112151243 302064103 521747087 631588579 1233663673 5739217957 6947474369 12000183001 132002013011