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2211012012 = 223114329059
BaseRepresentation
bin1000001111001001…
…0101110110101100
312201002102001021210
42003302111312230
514012004341022
61003221354420
7105535202106
oct20362256654
95632361253
102211012012
11a35071060
12518568a10
132930b8a41
1416d906576
15ce194a0c
hex83c95dac

2211012012 has 72 divisors (see below), whose sum is σ = 5762594880. Its totient is φ = 654349920.

The previous prime is 2211011983. The next prime is 2211012019. The reversal of 2211012012 is 2102101122.

2211012012 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2211012019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239539 + ... + 248597.

It is an arithmetic number, because the mean of its divisors is an integer number (80036040).

Almost surely, 22211012012 is an apocalyptic number.

2211012012 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 2211012012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2881297440).

2211012012 is an abundant number, since it is smaller than the sum of its proper divisors (3551582868).

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

2211012012 is a wasteful number, since it uses less digits than its factorization.

2211012012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9163 (or 9118 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2211012012 is about 47021.3995112863. The cubic root of 2211012012 is about 1302.7578557255.

Adding to 2211012012 its reverse (2102101122), we get a palindrome (4313113134).

The spelling of 2211012012 in words is "two billion, two hundred eleven million, twelve thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 258 473 516 946 1419 1849 1892 2838 3698 5547 5676 7396 9059 11094 18118 20339 22188 27177 36236 40678 54354 61017 81356 99649 108708 122034 199298 244068 298947 389537 398596 597894 779074 1168611 1195788 1558148 2337222 4284907 4674444 8569814 12854721 16750091 17139628 25709442 33500182 50250273 51418884 67000364 100500546 184251001 201001092 368502002 552753003 737004004 1105506006 2211012012