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230102131300101 = 33192866871564571
BaseRepresentation
bin110100010100011011010011…
…110011000101011100000101
31010011201112211011101102102000
4310110123103303011130011
5220124443131103100401
62133215243152535513
766316221214521324
oct6424332363053405
91104645734342360
10230102131300101
1167354847406845
1221983402251599
139b516cb937388
1440b70071080bb
151b9074024e186
hexd146d3cc5705

230102131300101 has 32 divisors (see below), whose sum is σ = 358835214028800. Its totient is φ = 145327062066480.

The previous prime is 230102131299947. The next prime is 230102131300157. The reversal of 230102131300101 is 101003131201032.

230102131300101 is a `hidden beast` number, since 2 + 30 + 102 + 131 + 300 + 101 = 666.

It is not a de Polignac number, because 230102131300101 - 213 = 230102131291909 is a prime.

It is a super-2 number, since 2×2301021313001012 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230102131310101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146288146 + ... + 147852716.

It is an arithmetic number, because the mean of its divisors is an integer number (11213600438400).

Almost surely, 2230102131300101 is an apocalyptic number.

It is an amenable number.

230102131300101 is a deficient number, since it is larger than the sum of its proper divisors (128733082728699).

230102131300101 is a wasteful number, since it uses less digits than its factorization.

230102131300101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851286 (or 1851280 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 230102131300101 its reverse (101003131201032), we get a palindrome (331105262501133).

The spelling of 230102131300101 in words is "two hundred thirty trillion, one hundred two billion, one hundred thirty-one million, three hundred thousand, one hundred one".

Divisors: 1 3 9 19 27 57 171 513 286687 860061 1564571 2580183 4693713 5447053 7740549 14081139 16341159 29726849 42243417 49023477 89180547 147070431 267541641 802624923 448542166277 1345626498831 4036879496493 8522301159263 12110638489479 25566903477789 76700710433367 230102131300101