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130213212 = 223233741311
BaseRepresentation
bin1111100001011…
…10010101011100
3100002000111221120
413300232111130
5231313310322
620530530540
73140536233
oct760562534
9302014846
10130213212
1167558128
1237736a50
1320c9184c
1413417b1a
15b671a5c
hex7c2e55c

130213212 has 96 divisors (see below), whose sum is σ = 334623744. Its totient is φ = 39283200.

The previous prime is 130213211. The next prime is 130213231. The reversal of 130213212 is 212312031.

It is a junction number, because it is equal to n+sod(n) for n = 130213191 and 130213200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130213211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418537 + ... + 418847.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2130213212 is an apocalyptic number.

130213212 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 130213212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167311872).

130213212 is an abundant number, since it is smaller than the sum of its proper divisors (204410532).

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

130213212 is a wasteful number, since it uses less digits than its factorization.

130213212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 130213212 is about 11411.1003851513. The cubic root of 130213212 is about 506.8564964664.

Adding to 130213212 its reverse (212312031), we get a palindrome (342525243).

The spelling of 130213212 in words is "one hundred thirty million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 23 37 41 46 69 74 82 92 111 123 138 148 164 222 246 276 311 444 492 622 851 933 943 1244 1517 1702 1866 1886 2553 2829 3034 3404 3732 3772 4551 5106 5658 6068 7153 9102 10212 11316 11507 12751 14306 18204 21459 23014 25502 28612 34521 34891 38253 42918 46028 51004 69042 69782 76506 85836 104673 138084 139564 153012 209346 264661 293273 418692 471787 529322 586546 793983 879819 943574 1058644 1173092 1415361 1587966 1759638 1887148 2830722 3175932 3519276 5661444 10851101 21702202 32553303 43404404 65106606 130213212