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1230213012 = 223725935461
BaseRepresentation
bin100100101010011…
…1000111110010100
310011201212021222220
41021110320332110
510004413304022
6322023422340
742325431600
oct11124707624
93151767886
101230213012
11581472276
122a3bb49b0
13167b423c2
14b9556500
157300785c
hex49538f94

1230213012 has 72 divisors (see below), whose sum is σ = 3395841120. Its totient is φ = 345522240.

The previous prime is 1230213011. The next prime is 1230213013. The reversal of 1230213012 is 2103120321.

It is an interprime number because it is at equal distance from previous prime (1230213011) and next prime (1230213013).

It is a super-2 number, since 2×12302130122 = 3026848109788224288, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1230212982 and 1230213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230213011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16962 + ... + 52422.

It is an arithmetic number, because the mean of its divisors is an integer number (47164460).

Almost surely, 21230213012 is an apocalyptic number.

1230213012 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 1230213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1697920560).

1230213012 is an abundant number, since it is smaller than the sum of its proper divisors (2165628108).

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

1230213012 is a wasteful number, since it uses less digits than its factorization.

1230213012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35541 (or 35532 counting only the distinct ones).

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

The square root of 1230213012 is about 35074.3925392871. The cubic root of 1230213012 is about 1071.5031170279.

Adding to 1230213012 its reverse (2103120321), we get a palindrome (3333333333).

The spelling of 1230213012 in words is "one billion, two hundred thirty million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 59 84 98 118 147 177 196 236 294 354 413 588 708 826 1239 1652 2478 2891 4956 5782 8673 11564 17346 34692 35461 70922 106383 141844 212766 248227 425532 496454 744681 992908 1489362 1737589 2092199 2978724 3475178 4184398 5212767 6276597 6950356 8368796 10425534 12553194 14645393 20851068 25106388 29290786 43936179 58581572 87872358 102517751 175744716 205035502 307553253 410071004 615106506 1230213012