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6123000130 = 2513237181541
BaseRepresentation
bin1011011001111010…
…11001000101000010
3120210201111122010121
411230331121011002
5100014442001010
62451325050454
7304506433222
oct55475310502
916721448117
106123000130
112662301695
12122a6b6a2a
13767703400
144212aa082
1525c8323da
hex16cf59142

6123000130 has 96 divisors (see below), whose sum is σ = 12347466768. Its totient is φ = 2183500800.

The previous prime is 6123000113. The next prime is 6123000133. The reversal of 6123000130 is 310003216.

It can be written as a sum of positive squares in 24 ways, for example, as 2101030569 + 4021969561 = 45837^2 + 63419^2 .

It is a super-2 number, since 2×61230001302 = 74982261183960033800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6123000133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11317660 + ... + 11318200.

Almost surely, 26123000130 is an apocalyptic number.

6123000130 is an abundant number, since it is smaller than the sum of its proper divisors (6224466638).

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

6123000130 is a wasteful number, since it uses less digits than its factorization.

6123000130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 6123000130 is about 78249.6014686337. The cubic root of 6123000130 is about 1829.4537003901.

Adding to 6123000130 its reverse (310003216), we get a palindrome (6433003346).

The spelling of 6123000130 in words is "six billion, one hundred twenty-three million, one hundred thirty", and thus it is an aban number.

Divisors: 1 2 5 10 13 26 37 65 74 130 169 181 185 338 362 370 481 541 845 905 962 1082 1690 1810 2353 2405 2705 4706 4810 5410 6253 6697 7033 11765 12506 13394 14066 20017 23530 30589 31265 33485 35165 40034 61178 62530 66970 70330 87061 91429 97921 100085 152945 174122 182858 195842 200170 260221 305890 435305 457145 489605 520442 870610 914290 979210 1131793 1272973 1301105 2263586 2545946 2602210 3382873 3623077 5658965 6364865 6765746 7246154 11317930 12729730 16548649 16914365 18115385 33097298 33828730 36230770 47100001 82743245 94200002 165486490 235500005 471000010 612300013 1224600026 3061500065 6123000130