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2011000212 = 2232138948281
BaseRepresentation
bin111011111011101…
…0110110110010100
312012011001101200100
41313313112312110
513104304001322
6531314414100
7100556135244
oct16767266624
95164041610
102011000212
11942180251
12481591330
13260829270
1415111db24
15bb836dac
hex77dd6d94

2011000212 has 72 divisors (see below), whose sum is σ = 5536014120. Its totient is φ = 611804160.

The previous prime is 2011000207. The next prime is 2011000247. The reversal of 2011000212 is 2120001102.

It can be written as a sum of positive squares in 4 ways, for example, as 15876 + 2010984336 = 126^2 + 44844^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 2011000194 and 2011000203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17512 + ... + 65792.

It is an arithmetic number, because the mean of its divisors is an integer number (76889085).

Almost surely, 22011000212 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 2011000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768007060).

2011000212 is an abundant number, since it is smaller than the sum of its proper divisors (3525013908).

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

2011000212 is a wasteful number, since it uses less digits than its factorization.

2011000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48393 (or 48388 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2011000212 is about 44844.1770132979. The cubic root of 2011000212 is about 1262.2267276653.

Adding to 2011000212 its reverse (2120001102), we get a palindrome (4131001314).

The spelling of 2011000212 in words is "two billion, eleven million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 89 117 156 178 234 267 356 468 534 801 1068 1157 1602 2314 3204 3471 4628 6942 10413 13884 20826 41652 48281 96562 144843 193124 289686 434529 579372 627653 869058 1255306 1738116 1882959 2510612 3765918 4297009 5648877 7531836 8594018 11297754 12891027 17188036 22595508 25782054 38673081 51564108 55861117 77346162 111722234 154692324 167583351 223444468 335166702 502750053 670333404 1005500106 2011000212