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330142431 = 31761106121
BaseRepresentation
bin10011101011011…
…001001011011111
3212000012222021110
4103223121023133
51134004024211
652432033103
711116110243
oct2353311337
9760188243
10330142431
1115a3a1993
1292692793
1353522868
1431bbc423
151deb4ea6
hex13ad92df

330142431 has 16 divisors (see below), whose sum is σ = 473728608. Its totient is φ = 203750400.

The previous prime is 330142369. The next prime is 330142441. The reversal of 330142431 is 134241033.

It is not a de Polignac number, because 330142431 - 27 = 330142303 is a prime.

It is a super-2 number, since 2×3301424312 = 217988049493179522, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 330142398 and 330142407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330142441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49950 + ... + 56171.

It is an arithmetic number, because the mean of its divisors is an integer number (29608038).

Almost surely, 2330142431 is an apocalyptic number.

330142431 is a deficient number, since it is larger than the sum of its proper divisors (143586177).

330142431 is a wasteful number, since it uses less digits than its factorization.

330142431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106202.

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 330142431 is about 18169.8219859194. The cubic root of 330142431 is about 691.1417287506.

Adding to 330142431 its reverse (134241033), we get a palindrome (464383464).

The spelling of 330142431 in words is "three hundred thirty million, one hundred forty-two thousand, four hundred thirty-one".

Divisors: 1 3 17 51 61 183 1037 3111 106121 318363 1804057 5412171 6473381 19420143 110047477 330142431