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230006332101 = 37131974276721
BaseRepresentation
bin1101011000110101110…
…0100001101011000101
3210222200112111021212210
43112031130201223011
512232023110111401
6253355145534033
722421525364540
oct3261534415305
9728615437783
10230006332101
11895aa63a677
12386b07a4319
13188c6ac0480
14b1bd2d7857
155eb28ee4d6
hex358d721ac5

230006332101 has 32 divisors (see below), whose sum is σ = 379362348288. Its totient is φ = 120706145280.

The previous prime is 230006332021. The next prime is 230006332103. The reversal of 230006332101 is 101233600032.

230006332101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230006332101 - 213 = 230006323909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230006332103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084580 + ... + 2192141.

It is an arithmetic number, because the mean of its divisors is an integer number (11855073384).

Almost surely, 2230006332101 is an apocalyptic number.

230006332101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

230006332101 is a deficient number, since it is larger than the sum of its proper divisors (149356016187).

230006332101 is a wasteful number, since it uses less digits than its factorization.

230006332101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4276941.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 230006332101 its reverse (101233600032), we get a palindrome (331239932133).

The spelling of 230006332101 in words is "two hundred thirty billion, six million, three hundred thirty-two thousand, one hundred one".

Divisors: 1 3 7 13 21 39 91 197 273 591 1379 2561 4137 7683 17927 53781 4276721 12830163 29937047 55597373 89811141 166792119 389181611 842514037 1167544833 2527542111 5897598259 10952682481 17692794777 32858047443 76668777367 230006332101