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2010020012 = 22711132412083
BaseRepresentation
bin111011111001110…
…0111100010101100
312012002012121002122
41313303213202230
513104031120022
6531241412112
7100544613440
oct16763474254
95162177078
102010020012
11941670870
1248119a038
13260575070
14150d46820
15bb6e1742
hex77ce78ac

2010020012 has 96 divisors (see below), whose sum is σ = 4744717824. Its totient is φ = 719539200.

The previous prime is 2010020009. The next prime is 2010020021. The reversal of 2010020012 is 2100200102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 963923 + ... + 966005.

It is an arithmetic number, because the mean of its divisors is an integer number (49424144).

Almost surely, 22010020012 is an apocalyptic number.

2010020012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010020012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372358912).

2010020012 is an abundant number, since it is smaller than the sum of its proper divisors (2734697812).

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

2010020012 is a wasteful number, since it uses less digits than its factorization.

2010020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2359 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 2010020012 is about 44833.2467260626. The cubic root of 2010020012 is about 1262.0216165134.

Adding to 2010020012 its reverse (2100200102), we get a palindrome (4110220114).

The spelling of 2010020012 in words is "two billion, ten million, twenty thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 241 286 308 364 482 572 964 1001 1687 2002 2083 2651 3133 3374 4004 4166 5302 6266 6748 8332 10604 12532 14581 18557 21931 22913 27079 29162 34463 37114 43862 45826 54158 58324 68926 74228 87724 91652 108316 137852 160391 189553 241241 297869 320782 379106 482482 502003 595738 641564 758212 964964 1004006 1191476 2008012 2085083 3514021 4170166 5522033 6526039 7028042 8340332 11044066 13052078 14056084 22088132 26104156 38654231 45682273 71786429 77308462 91364546 143572858 154616924 182729092 287145716 502505003 1005010006 2010020012