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10023330130101 = 34535694103353
BaseRepresentation
bin1001000111011011110100…
…0010000010100010110101
31022111012222002222122210000
42101312331002002202311
52303210240003130401
633152353154421513
72053106315233311
oct221667502024265
938435862878700
1010023330130101
113214963607082
12115a708b91899
13579271734732
142691bb7d4b41
15125ae3214186
hex91dbd0828b5

10023330130101 has 40 divisors (see below), whose sum is σ = 15282449570520. Its totient is φ = 6544616652288.

The previous prime is 10023330130097. The next prime is 10023330130103. The reversal of 10023330130101 is 10103103332001.

It is a happy number.

10023330130101 is a `hidden beast` number, since 1 + 0 + 0 + 233 + 301 + 30 + 101 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3046473522225 + 6976856607876 = 1745415^2 + 2641374^2 .

It is not a de Polignac number, because 10023330130101 - 22 = 10023330130097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10023330130103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 391041 + ... + 4494393.

It is an arithmetic number, because the mean of its divisors is an integer number (382061239263).

Almost surely, 210023330130101 is an apocalyptic number.

It is an amenable number.

10023330130101 is a deficient number, since it is larger than the sum of its proper divisors (5259119440419).

10023330130101 is an equidigital number, since it uses as much as digits as its factorization.

10023330130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103987 (or 4103978 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10023330130101 its reverse (10103103332001), we get a palindrome (20126433462102).

The spelling of 10023330130101 in words is "ten trillion, twenty-three billion, three hundred thirty million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 9 27 53 81 159 477 569 1431 1707 4293 5121 15363 30157 46089 90471 271413 814239 2442717 4103353 12310059 36930177 110790531 217477709 332371593 652433127 1957299381 2334807857 5871898143 7004423571 17615694429 21013270713 63039812139 123744816421 189119436417 371234449263 1113703347789 3341110043367 10023330130101