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20121130413 = 32317189101113
BaseRepresentation
bin10010101111010100…
…000001010110101101
31220221021110022221100
4102233110001112231
5312202002133123
613124333353313
71311422533536
oct225724012655
956837408840
1020121130413
1185959430aa
123a96638839
131b88809237
14d8c41768d
157cb6e6643
hex4af5015ad

20121130413 has 96 divisors (see below), whose sum is σ = 31345367040. Its totient is φ = 12418560000.

The previous prime is 20121130361. The next prime is 20121130423. The reversal of 20121130413 is 31403112102.

20121130413 is a `hidden beast` number, since 2 + 0 + 121 + 130 + 413 = 666.

It is not a de Polignac number, because 20121130413 - 28 = 20121130157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20121130423) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 178063045 + ... + 178063157.

It is an arithmetic number, because the mean of its divisors is an integer number (326514240).

Almost surely, 220121130413 is an apocalyptic number.

It is an amenable number.

20121130413 is a deficient number, since it is larger than the sum of its proper divisors (11224236627).

20121130413 is a wasteful number, since it uses less digits than its factorization.

20121130413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 20121130413 its reverse (31403112102), we get a palindrome (51524242515).

The spelling of 20121130413 in words is "twenty billion, one hundred twenty-one million, one hundred thirty thousand, four hundred thirteen".

Divisors: 1 3 9 31 71 89 93 101 113 213 267 279 303 339 639 801 909 1017 2201 2759 3131 3503 6319 6603 7171 8023 8277 8989 9393 10057 10509 11413 18957 19809 21513 24069 24831 26967 28179 30171 31527 34239 56871 64539 72207 80901 90513 102717 195889 222301 248713 278659 311767 353803 587667 638219 666903 714047 746139 810323 835977 935301 1015757 1061409 1763001 1914657 2000709 2142141 2238417 2430969 2507931 2805903 3047271 3184227 5743971 6426423 7292907 9141813 19784789 22135457 25120013 31488467 59354367 66406371 72118747 75360039 94465401 178063101 199219113 216356241 226080117 283396203 649068723 2235681157 6707043471 20121130413