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2121012 = 223341479
BaseRepresentation
bin1000000101110100110100
310222202111000
420011310310
51020333022
6113243300
724012465
oct10056464
93882430
102121012
111219603
12863530
1359354a
143d2d6c
152bd6ac
hex205d34

2121012 has 48 divisors (see below), whose sum is σ = 5644800. Its totient is φ = 688320.

The previous prime is 2121011. The next prime is 2121017. The reversal of 2121012 is 2101212.

2121012 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2120985 and 2121003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189 + ... + 4667.

It is an arithmetic number, because the mean of its divisors is an integer number (117600).

22121012 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 2121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822400).

2121012 is an abundant number, since it is smaller than the sum of its proper divisors (3523788).

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

2121012 is a wasteful number, since it uses less digits than its factorization.

2121012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

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

The square root of 2121012 is about 1456.3694586196. The cubic root of 2121012 is about 128.4836035139.

Adding to 2121012 its reverse (2101212), we get a palindrome (4222224).

The spelling of 2121012 in words is "two million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 82 108 123 164 246 369 479 492 738 958 1107 1437 1476 1916 2214 2874 4311 4428 5748 8622 12933 17244 19639 25866 39278 51732 58917 78556 117834 176751 235668 353502 530253 707004 1060506 2121012