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230132310330 = 235132917202291
BaseRepresentation
bin1101011001010011110…
…1000110000100111010
3211000000022112122112010
43112110331012010322
512232302332412310
6253415450030350
722424615235156
oct3262475060472
9730008478463
10230132310330
1189664764a0a
1238726a183b6
1318916c2b4c0
14b1d1d2c066
155ebd9d6320
hex3594f4613a

230132310330 has 64 divisors (see below), whose sum is σ = 595010360448. Its totient is φ = 56628253440.

The previous prime is 230132310311. The next prime is 230132310337. The reversal of 230132310330 is 33013231032.

230132310330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230132310297 and 230132310306.

It is not an unprimeable number, because it can be changed into a prime (230132310337) 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, 1036485 + ... + 1238775.

It is an arithmetic number, because the mean of its divisors is an integer number (9297036882).

Almost surely, 2230132310330 is an apocalyptic number.

230132310330 is an abundant number, since it is smaller than the sum of its proper divisors (364878050118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230132310330 is a wasteful number, since it uses less digits than its factorization.

230132310330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205231.

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 230132310330 its reverse (33013231032), we get a palindrome (263145541362).

The spelling of 230132310330 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 2917 5834 8751 14585 17502 29170 37921 43755 75842 87510 113763 189605 202291 227526 379210 404582 568815 606873 1011455 1137630 1213746 2022910 2629783 3034365 5259566 6068730 7889349 13148915 15778698 26297830 39446745 78893490 590082847 1180165694 1770248541 2950414235 3540497082 5900828470 7671077011 8851242705 15342154022 17702485410 23013231033 38355385055 46026462066 76710770110 115066155165 230132310330