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130000212 = 223217092113
BaseRepresentation
bin1111011111110…
…10010101010100
3100001121200202200
413233322111110
5231240001322
620522204500
73135661236
oct757722524
9301550680
10130000212
11674220a1
1237653730
1320c18904
14133a0256
15b62d8ac
hex7bfa554

130000212 has 36 divisors (see below), whose sum is σ = 328959540. Its totient is φ = 43287552.

The previous prime is 130000193. The next prime is 130000229. The reversal of 130000212 is 212000031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7322436 + 122677776 = 2706^2 + 11076^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 130000194 and 130000203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60468 + ... + 62580.

It is an arithmetic number, because the mean of its divisors is an integer number (9137765).

Almost surely, 2130000212 is an apocalyptic number.

130000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130000212 is an abundant number, since it is smaller than the sum of its proper divisors (198959328).

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

130000212 is a wasteful number, since it uses less digits than its factorization.

130000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3832 (or 3827 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130000212 is about 11401.7635478026. The cubic root of 130000212 is about 506.5799772815.

Adding to 130000212 its reverse (212000031), we get a palindrome (342000243).

The spelling of 130000212 in words is "one hundred thirty million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 1709 2113 3418 4226 5127 6339 6836 8452 10254 12678 15381 19017 20508 25356 30762 38034 61524 76068 3611117 7222234 10833351 14444468 21666702 32500053 43333404 65000106 130000212