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2013225030 = 234513118973
BaseRepresentation
bin111011111111111…
…0110000001000110
312012022020102120000
41313333312001012
513110341200110
6531434222130
7100614062505
oct16777660106
95168212500
102013225030
1194345a843
12482284946
13261127b1b
1415153c83c
15bbb261c0
hex77ff6046

2013225030 has 80 divisors (see below), whose sum is σ = 5454949104. Its totient is φ = 532733760.

The previous prime is 2013225023. The next prime is 2013225031. The reversal of 2013225030 is 305223102.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2013224994 and 2013225012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2013225031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 96624 + ... + 115596.

Almost surely, 22013225030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2013225030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2727474552).

2013225030 is an abundant number, since it is smaller than the sum of its proper divisors (3441724074).

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

2013225030 is a wasteful number, since it uses less digits than its factorization.

2013225030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19123 (or 19114 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2013225030 is about 44868.9762530861. The cubic root of 2013225030 is about 1262.6920333974.

Adding to 2013225030 its reverse (305223102), we get a palindrome (2318448132).

The spelling of 2013225030 in words is "two billion, thirteen million, two hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 131 135 162 262 270 393 405 655 786 810 1179 1310 1965 2358 3537 3930 5895 7074 10611 11790 17685 18973 21222 35370 37946 53055 56919 94865 106110 113838 170757 189730 284595 341514 512271 569190 853785 1024542 1536813 1707570 2485463 2561355 3073626 4970926 5122710 7456389 7684065 12427315 14912778 15368130 22369167 24854630 37281945 44738334 67107501 74563890 111845835 134215002 201322503 223691670 335537505 402645006 671075010 1006612515 2013225030