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130090212 = 22347411399
BaseRepresentation
bin1111100000100…
…00010011100100
3100001210021020000
413300100103210
5231300341322
620524141300
73136514520
oct760202344
9301707200
10130090212
116748377a
1237697830
1320c4a875
14133c4d80
15b64a3ac
hex7c104e4

130090212 has 120 divisors (see below), whose sum is σ = 398428800. Its totient is φ = 36236160.

The previous prime is 130090211. The next prime is 130090223. The reversal of 130090212 is 212090031.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (130090211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92289 + ... + 93687.

It is an arithmetic number, because the mean of its divisors is an integer number (3320240).

Almost surely, 2130090212 is an apocalyptic number.

130090212 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 130090212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199214400).

130090212 is an abundant number, since it is smaller than the sum of its proper divisors (268338588).

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

130090212 is a wasteful number, since it uses less digits than its factorization.

130090212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 130090212 is about 11405.7096228161. The cubic root of 130090212 is about 506.6968531953.

The spelling of 130090212 in words is "one hundred thirty million, ninety thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 41 42 54 63 81 82 84 108 123 126 162 164 189 246 252 287 324 369 378 492 567 574 738 756 861 1107 1134 1148 1399 1476 1722 2214 2268 2583 2798 3321 3444 4197 4428 5166 5596 6642 7749 8394 9793 10332 12591 13284 15498 16788 19586 23247 25182 29379 30996 37773 39172 46494 50364 57359 58758 75546 88137 92988 113319 114718 117516 151092 172077 176274 226638 229436 264411 344154 352548 401513 453276 516231 528822 688308 793233 803026 1032462 1057644 1204539 1548693 1586466 1606052 2064924 2409078 3097386 3172932 3613617 4646079 4818156 6194772 7227234 9292158 10840851 14454468 18584316 21681702 32522553 43363404 65045106 130090212