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13142230502130 = 23254212823877
BaseRepresentation
bin1011111100111110100111…
…1110110000101011110010
31201112101101122021122201200
42333033221332300223302
53210310242002032010
643541242441512030
72524331503046352
oct277175176605362
951471348248650
1013142230502130
114207652557124
1215830764a2616
137443cb69b452
14336131990b62
1517bcd60eccc0
hexbf3e9fb0af2

13142230502130 has 72 divisors (see below), whose sum is σ = 34251197084676. Its totient is φ = 3496266103680.

The previous prime is 13142230502069. The next prime is 13142230502179. The reversal of 13142230502130 is 3120503224131.

13142230502130 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 23 + 0 + 502 + 130 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 906919096329 + 12235311405801 = 952323^2 + 3497901^2 .

It is a super-2 number, since 2×131422305021302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13142230502094 and 13142230502103.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15539752 + ... + 16363628.

Almost surely, 213142230502130 is an apocalyptic number.

13142230502130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13142230502130 is an abundant number, since it is smaller than the sum of its proper divisors (21108966582546).

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

13142230502130 is an equidigital number, since it uses as much as digits as its factorization.

13142230502130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824732 (or 824308 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 13142230502130 its reverse (3120503224131), we get a palindrome (16262733726261).

The spelling of 13142230502130 in words is "thirteen trillion, one hundred forty-two billion, two hundred thirty million, five hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 421 842 1263 2105 2526 3789 4210 6315 7578 12630 18945 37890 177241 354482 531723 823877 886205 1063446 1595169 1647754 1772410 2471631 2658615 3190338 4119385 4943262 5317230 7414893 7975845 8238770 12358155 14829786 15951690 24716310 37074465 74148930 346852217 693704434 1040556651 1734261085 2081113302 3121669953 3468522170 5202783255 6243339906 10405566510 15608349765 31216699530 146024783357 292049566714 438074350071 730123916785 876148700142 1314223050213 1460247833570 2190371750355 2628446100426 4380743500710 6571115251065 13142230502130