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2210121012 = 2231161833307
BaseRepresentation
bin1000001110111011…
…1100010100110100
312201000201210001210
42003232330110310
514011242333022
61003150321420
7105524501331
oct20356742464
95630653053
102210121012
11a346126a0
125181b9270
13292b66318
1416d753988
15ce06aa0c
hex83bbc534

2210121012 has 96 divisors (see below), whose sum is σ = 5788629504. Its totient is φ = 650620800.

The previous prime is 2210120999. The next prime is 2210121049. The reversal of 2210121012 is 2101210122.

2210121012 is digitally balanced in base 2, because in such base 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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666663 + ... + 669969.

It is an arithmetic number, because the mean of its divisors is an integer number (60298224).

Almost surely, 22210121012 is an apocalyptic number.

2210121012 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 2210121012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894314752).

2210121012 is an abundant number, since it is smaller than the sum of its proper divisors (3578508492).

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

2210121012 is a wasteful number, since it uses less digits than its factorization.

2210121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3467 counting only the distinct ones).

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

The square root of 2210121012 is about 47011.9241469651. The cubic root of 2210121012 is about 1302.5828358402.

Adding to 2210121012 its reverse (2101210122), we get a palindrome (4311331134).

It can be divided in two parts, 2 and 210121012, that multiplied together give a palindrome (420242024).

The spelling of 2210121012 in words is "two billion, two hundred ten million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 61 66 83 122 132 166 183 244 249 332 366 498 671 732 913 996 1342 1826 2013 2684 2739 3307 3652 4026 5063 5478 6614 8052 9921 10126 10956 13228 15189 19842 20252 30378 36377 39684 55693 60756 72754 109131 111386 145508 167079 201727 218262 222772 274481 334158 403454 436524 548962 605181 668316 806908 823443 1097924 1210362 1646886 2218997 2420724 3019291 3293772 4437994 6038582 6656991 8875988 9057873 12077164 13313982 16743341 18115746 26627964 33486682 36231492 50230023 66973364 100460046 184176751 200920092 368353502 552530253 736707004 1105060506 2210121012