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2002212102 = 2311132722861
BaseRepresentation
bin111011101010111…
…0101010100000110
312011112111220122210
41313111311110012
513100031241402
6530402204250
7100421344032
oct16725652406
95145456583
102002212102
11938218650
1247a653686
1325ba701b7
1414dcb31c2
15bab9d06c
hex77575506

2002212102 has 32 divisors (see below), whose sum is σ = 4371945984. Its totient is φ = 606247200.

The previous prime is 2002212073. The next prime is 2002212109. The reversal of 2002212102 is 2012122002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002212109) 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, 76152 + ... + 99012.

It is an arithmetic number, because the mean of its divisors is an integer number (136623312).

Almost surely, 22002212102 is an apocalyptic number.

2002212102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002212102 is an abundant number, since it is smaller than the sum of its proper divisors (2369733882).

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

2002212102 is a wasteful number, since it uses less digits than its factorization.

2002212102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24204.

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2002212102 is about 44746.0847672732. The cubic root of 2002212102 is about 1260.3853910543.

Adding to 2002212102 its reverse (2012122002), we get a palindrome (4014334104).

The spelling of 2002212102 in words is "two billion, two million, two hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 1327 2654 3981 7962 14597 22861 29194 43791 45722 68583 87582 137166 251471 502942 754413 1508826 30336547 60673094 91009641 182019282 333702017 667404034 1001106051 2002212102