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3202120012 = 2272136718757
BaseRepresentation
bin1011111011011100…
…0111100101001100
322021011100112212111
42332313013211030
523024220320022
61245424313404
7142231366600
oct27667074514
98234315774
103202120012
1113a3571183
12754472864
133c0531790
142253bb500
1513b1bb477
hexbedc794c

3202120012 has 72 divisors (see below), whose sum is σ = 7125188784. Its totient is φ = 1247799168.

The previous prime is 3202119979. The next prime is 3202120073. The reversal of 3202120012 is 2100212023.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 3202119974 and 3202120001.

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 23 ways as a sum of consecutive naturals, for example, 161338 + ... + 180094.

Almost surely, 23202120012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3202120012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562594392).

3202120012 is an abundant number, since it is smaller than the sum of its proper divisors (3923068772).

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

3202120012 is a wasteful number, since it uses less digits than its factorization.

3202120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18855 (or 18846 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3202120012 is about 56587.2778281479. The cubic root of 3202120012 is about 1473.9379522420.

Adding to 3202120012 its reverse (2100212023), we get a palindrome (5302332035).

The spelling of 3202120012 in words is "three billion, two hundred two million, one hundred twenty thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 67 91 98 134 182 196 268 364 469 637 871 938 1274 1742 1876 2548 3283 3484 6097 6566 12194 13132 18757 24388 37514 42679 75028 85358 131299 170716 243841 262598 487682 525196 919093 975364 1256719 1706887 1838186 2513438 3413774 3676372 5026876 6827548 8797033 11948209 16337347 17594066 23896418 32674694 35188132 47792836 61579231 65349388 114361429 123158462 228722858 246316924 457445716 800530003 1601060006 3202120012