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230132362275 = 3452373071503
BaseRepresentation
bin1101011001010011110…
…1010010110000100011
3211000000022122021210000
43112110331102300203
512232302341043100
6253415451111043
722424615542464
oct3262475226043
9730008567700
10230132362275
118966479aa42
1238726a42483
1318916c4903a
14b1d1d42d6b
155ebd9e6900
hex3594f52c23

230132362275 has 60 divisors (see below), whose sum is σ = 437806037152. Its totient is φ = 119419997760.

The previous prime is 230132362241. The next prime is 230132362303. The reversal of 230132362275 is 572263231032.

230132362275 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 3 + 23 + 622 + 7 + 5 = 666.

230132362275 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 230132362275 - 26 = 230132362211 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1460827 + ... + 1610676.

Almost surely, 2230132362275 is an apocalyptic number.

230132362275 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

230132362275 is a deficient number, since it is larger than the sum of its proper divisors (207673674877).

230132362275 is a wasteful number, since it uses less digits than its factorization.

230132362275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3071562 (or 3071548 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 230132362275 in words is "two hundred thirty billion, one hundred thirty-two million, three hundred sixty-two thousand, two hundred seventy-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 81 111 135 185 225 333 405 555 675 925 999 1665 2025 2775 2997 4995 8325 14985 24975 74925 3071503 9214509 15357515 27643527 46072545 76787575 82930581 113645611 138217635 230362725 248791743 340936833 414652905 568228055 691088175 1022810499 1243958715 1704684165 2073264525 2841140275 3068431497 5114052495 6219793575 8523420825 9205294491 15342157485 25570262475 46026472455 76710787425 230132362275