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2211030042 = 23133414091
BaseRepresentation
bin1000001111001001…
…1010010000011010
312201002102222000120
42003302122100122
514012010430132
61003222014110
7105535305504
oct20362322032
95632388016
102211030042
11a35083661
12518577336
132930c4000
1416d90cd74
15ce19a02c
hex83c9a41a

2211030042 has 64 divisors (see below), whose sum is σ = 4908435840. Its totient is φ = 663561600.

The previous prime is 2211029999. The next prime is 2211030077. The reversal of 2211030042 is 2400301122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538417 + ... + 542507.

It is an arithmetic number, because the mean of its divisors is an integer number (76694310).

Almost surely, 22211030042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211030042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2454217920).

2211030042 is an abundant number, since it is smaller than the sum of its proper divisors (2697405798).

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

2211030042 is a wasteful number, since it uses less digits than its factorization.

2211030042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4176 (or 4150 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2211030042 is about 47021.5912321138. The cubic root of 2211030042 is about 1302.7613968883.

Adding to 2211030042 its reverse (2400301122), we get a palindrome (4611331164).

The spelling of 2211030042 in words is "two billion, two hundred eleven million, thirty thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1599 2197 3198 4091 4394 6591 6929 8182 12273 13182 13858 20787 24546 41574 53183 90077 106366 159549 167731 180154 270231 319098 335462 503193 540462 691379 1006386 1382758 2074137 2180503 4148274 4361006 6541509 8987927 13083018 17975854 26963781 28346539 53927562 56693078 85039617 170079234 368505007 737010014 1105515021 2211030042