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130212012 = 22372713119
BaseRepresentation
bin1111100001011…
…10000010101100
3100002000110022010
413300232002230
5231313241022
620530521220
73140532600
oct760560254
9302013263
10130212012
1167557237
1237736210
1320c91138
1413417500
15b67150c
hex7c2e0ac

130212012 has 72 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 36667680.

The previous prime is 130212011. The next prime is 130212013. The reversal of 130212012 is 210212031.

It is an interprime number because it is at equal distance from previous prime (130212011) and next prime (130212013).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (130212011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40189 + ... + 43307.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2130212012 is an apocalyptic number.

130212012 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 130212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

130212012 is an abundant number, since it is smaller than the sum of its proper divisors (228313428).

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

130212012 is a wasteful number, since it uses less digits than its factorization.

130212012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3211 (or 3202 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 130212012 is about 11411.0478046497. The cubic root of 130212012 is about 506.8549394568.

Adding to 130212012 its reverse (210212031), we get a palindrome (340424043).

The spelling of 130212012 in words is "one hundred thirty million, two hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3119 3479 5964 6238 6958 9357 10437 12476 13916 18714 20874 21833 37428 41748 43666 65499 87332 130998 152831 221449 261996 305662 442898 458493 611324 664347 885796 916986 1328694 1550143 1833972 2657388 3100286 4650429 6200572 9300858 10851001 18601716 21702002 32553003 43404004 65106006 130212012