Search a number
-
+
1020118212 = 22344121873
BaseRepresentation
bin111100110011011…
…100010011000100
32122002112101010000
4330303130103010
54042122240322
6245120401300
734164601401
oct7463342304
92562471100
101020118212
11483914a03
12245776230
13133462359
14996a72a8
155e8573ac
hex3ccdc4c4

1020118212 has 90 divisors (see below), whose sum is σ = 2734879994. Its totient is φ = 331568640.

The previous prime is 1020118199. The next prime is 1020118237. The reversal of 1020118212 is 2128110201.

1020118212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 219454596 + 800663616 = 14814^2 + 28296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 543708 + ... + 545580.

Almost surely, 21020118212 is an apocalyptic number.

1020118212 is a gapful number since it is divisible by the number (12) 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 1020118212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367439997).

1020118212 is an abundant number, since it is smaller than the sum of its proper divisors (1714761782).

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

1020118212 is a wasteful number, since it uses less digits than its factorization.

1020118212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1020118212 is about 31939.2894723724. The cubic root of 1020118212 is about 1006.6615952749.

Adding to 1020118212 its reverse (2128110201), we get a palindrome (3148228413).

The spelling of 1020118212 in words is "one billion, twenty million, one hundred eighteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 1681 1873 2214 3321 3362 3746 4428 5043 5619 6642 6724 7492 10086 11238 13284 15129 16857 20172 22476 30258 33714 45387 50571 60516 67428 76793 90774 101142 136161 151713 153586 181548 202284 230379 272322 303426 307172 460758 544644 606852 691137 921516 1382274 2073411 2764548 3148513 4146822 6220233 6297026 8293644 9445539 12440466 12594052 18891078 24880932 28336617 37782156 56673234 85009851 113346468 170019702 255029553 340039404 510059106 1020118212