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2132112012 = 2234127115991
BaseRepresentation
bin111111100010101…
…0111001010001100
312111120221111211120
41333011113022030
513331310041022
6551322320540
7103556440002
oct17705271214
95446844746
102132112012
119a4581348
124b6059150
1327c952254
14163248a72
15c72abd5c
hex7f15728c

2132112012 has 48 divisors (see below), whose sum is σ = 5115393024. Its totient is φ = 690768000.

The previous prime is 2132112011. The next prime is 2132112019. The reversal of 2132112012 is 2102112312.

It is a junction number, because it is equal to n+sod(n) for n = 2132111982 and 2132112000.

It is not an unprimeable number, because it can be changed into a prime (2132112011) 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 15 ways as a sum of consecutive naturals, for example, 125337 + ... + 141327.

It is an arithmetic number, because the mean of its divisors is an integer number (106570688).

Almost surely, 22132112012 is an apocalyptic number.

It is an amenable number.

2132112012 is an abundant number, since it is smaller than the sum of its proper divisors (2983281012).

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

2132112012 is a wasteful number, since it uses less digits than its factorization.

2132112012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16310 (or 16308 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2132112012 is about 46174.7984511032. The cubic root of 2132112012 is about 1287.0734715831.

Adding to 2132112012 its reverse (2102112312), we get a palindrome (4234224324).

It can be divided in two parts, 21321 and 12012, that added together give a palindrome (33333).

The spelling of 2132112012 in words is "two billion, one hundred thirty-two million, one hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 12 41 82 123 164 246 271 492 542 813 1084 1626 3252 11111 15991 22222 31982 33333 44444 47973 63964 66666 95946 133332 191892 655631 1311262 1966893 2622524 3933786 4333561 7867572 8667122 13000683 17334244 26001366 52002732 177676001 355352002 533028003 710704004 1066056006 2132112012