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130054212 = 223229347359
BaseRepresentation
bin1111100000001…
…11100001000100
3100001201102211200
413300013201010
5231243213322
620523302500
73136304541
oct760074104
9301642750
10130054212
1167459722
123767aa30
1320c37372
14133b5bc8
15b63e8ac
hex7c07844

130054212 has 72 divisors (see below), whose sum is σ = 342014400. Its totient is φ = 41619648.

The previous prime is 130054201. The next prime is 130054219. The reversal of 130054212 is 212450031.

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 (130054219) 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 23 ways as a sum of consecutive naturals, for example, 362089 + ... + 362447.

It is an arithmetic number, because the mean of its divisors is an integer number (4750200).

Almost surely, 2130054212 is an apocalyptic number.

130054212 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 130054212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171007200).

130054212 is an abundant number, since it is smaller than the sum of its proper divisors (211960188).

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

130054212 is a wasteful number, since it uses less digits than its factorization.

130054212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130054212 is about 11404.1313566619. The cubic root of 130054212 is about 506.6501093004.

The spelling of 130054212 in words is "one hundred thirty million, fifty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 347 348 359 522 694 718 1041 1044 1077 1388 1436 2082 2154 3123 3231 4164 4308 6246 6462 10063 10411 12492 12924 20126 20822 30189 31233 40252 41644 60378 62466 90567 93699 120756 124573 124932 181134 187398 249146 362268 373719 374796 498292 747438 1121157 1494876 2242314 3612617 4484628 7225234 10837851 14450468 21675702 32513553 43351404 65027106 130054212