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230230432081 = 13217641125017
BaseRepresentation
bin1101011001101011001…
…1011001100101010001
3211000021011011202021001
43112122303121211101
512233002442311311
6253433313102001
722430216245336
oct3263263314521
9730234152231
10230230432081
1189705093271
1238753857901
1318931365100
14b200d9098d
155ec74194c1
hex359acd9951

230230432081 has 24 divisors (see below), whose sum is σ = 264381565464. Its totient is φ = 199705559040.

The previous prime is 230230432079. The next prime is 230230432087. The reversal of 230230432081 is 180234032032.

It can be written as a sum of positive squares in 12 ways, for example, as 91935697681 + 138294734400 = 303209^2 + 371880^2 .

It is not a de Polignac number, because 230230432081 - 21 = 230230432079 is a prime.

It is a super-2 number, since 2×2302304320812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230230432087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1779085 + ... + 1904101.

It is an arithmetic number, because the mean of its divisors is an integer number (11015898561).

Almost surely, 2230230432081 is an apocalyptic number.

It is an amenable number.

230230432081 is a deficient number, since it is larger than the sum of its proper divisors (34151133383).

230230432081 is a wasteful number, since it uses less digits than its factorization.

230230432081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125701 (or 125688 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 230230432081 in words is "two hundred thirty billion, two hundred thirty million, four hundred thirty-two thousand, eighty-one".

Divisors: 1 13 17 169 221 641 2873 8333 10897 108329 125017 141661 1625221 1841593 2125289 21127873 27628757 80135897 359173841 1041766661 1362310249 13542966593 17710033237 230230432081