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204114130101 = 327163148713367
BaseRepresentation
bin1011111000011000100…
…1100111010010110101
3201111212001202011000100
42332012021213102311
511321011204130401
6233434014104313
720514065323260
oct2760611472265
9644761664010
10204114130101
1179623118022
12336854ab099
131632b790a9b
149c44663cd7
155499740b86
hex2f862674b5

204114130101 has 48 divisors (see below), whose sum is σ = 339270856704. Its totient is φ = 115834460832.

The previous prime is 204114130043. The next prime is 204114130111. The reversal of 204114130101 is 101031411402.

204114130101 is a `hidden beast` number, since 20 + 411 + 4 + 130 + 101 = 666.

It is not a de Polignac number, because 204114130101 - 210 = 204114129077 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204114130111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15263320 + ... + 15276686.

It is an arithmetic number, because the mean of its divisors is an integer number (7068142848).

Almost surely, 2204114130101 is an apocalyptic number.

204114130101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

204114130101 is a deficient number, since it is larger than the sum of its proper divisors (135156726603).

204114130101 is a wasteful number, since it uses less digits than its factorization.

204114130101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15030 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 204114130101 its reverse (101031411402), we get a palindrome (305145541503).

The spelling of 204114130101 in words is "two hundred four billion, one hundred fourteen million, one hundred thirty thousand, one hundred one".

Divisors: 1 3 7 9 21 63 163 489 1141 1467 1487 3423 4461 10269 10409 13367 13383 31227 40101 93569 93681 120303 242381 280707 727143 842121 1696667 2178821 2181429 5090001 6536463 15251747 15270003 19609389 19876729 45755241 59630187 137265723 139137103 178890561 417411309 1252233927 3239906827 9719720481 22679347789 29159161443 68038043367 204114130101