Search a number
-
+
121301212110030 = 23253157397757481
BaseRepresentation
bin11011100101001010100011…
…101010001001110011001110
3120220111021122000221001112200
4123211022203222021303032
5111344344340300010110
61105553001344142330
734356503054502201
oct3345124352116316
9526437560831480
10121301212110030
1135717611a13627
1211730ba26079a6
13528b869698684
1421d501d5bb938
15e054c9ba96c0
hex6e52a3a89cce

121301212110030 has 96 divisors (see below), whose sum is σ = 325562903347968. Its totient is φ = 31302951897600.

The previous prime is 121301212110017. The next prime is 121301212110049. The reversal of 121301212110030 is 30011212103121.

121301212110030 is a `hidden beast` number, since 1 + 21 + 301 + 212 + 1 + 100 + 30 = 666.

121301212110030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121301212109985 and 121301212110012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159758890 + ... + 160516370.

It is an arithmetic number, because the mean of its divisors is an integer number (3391280243208).

Almost surely, 2121301212110030 is an apocalyptic number.

121301212110030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121301212110030 is an abundant number, since it is smaller than the sum of its proper divisors (204261691237938).

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

121301212110030 is a wasteful number, since it uses less digits than its factorization.

121301212110030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814922 (or 814919 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 121301212110030 its reverse (30011212103121), we get a palindrome (151312424213151).

The spelling of 121301212110030 in words is "one hundred twenty-one trillion, three hundred one billion, two hundred twelve million, one hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1395 2790 57397 114794 172191 286985 344382 516573 573970 757481 860955 1033146 1514962 1721910 1779307 2272443 2582865 3558614 3787405 4544886 5165730 5337921 6817329 7574810 8896535 10675842 11362215 13634658 16013763 17793070 22724430 23481911 26689605 32027526 34086645 46963822 53379210 68173290 70445733 80068815 117409555 140891466 160137630 211337199 234819110 352228665 422674398 704457330 1056685995 2113371990 43477136957 86954273914 130431410871 217385684785 260862821742 391294232613 434771369570 652157054355 782588465226 1304314108710 1347791245667 1956471163065 2695582491334 3912942326130 4043373737001 6738956228335 8086747474002 12130121211003 13477912456670 20216868685005 24260242422006 40433737370010 60650606055015 121301212110030