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6000098031 = 331713072109
BaseRepresentation
bin1011001011010001…
…00011101011101111
3120111011020120011000
411211220203223233
544242011114111
62431214531343
7301454664114
oct54550435357
916434216130
106000098031
1125a9998504
1211b5506b53
13748101585
1440cc3690b
15251b56c56
hex165a23aef

6000098031 has 16 divisors (see below), whose sum is σ = 9411919200. Its totient is φ = 3764767104.

The previous prime is 6000097991. The next prime is 6000098051. The reversal of 6000098031 is 1308900006.

It is not a de Polignac number, because 6000098031 - 215 = 6000065263 is a prime.

It is a super-2 number, since 2×60000980312 = 72002352763220153922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6000097986 and 6000098004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6000098051) 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 15 ways as a sum of consecutive naturals, for example, 6535596 + ... + 6536513.

It is an arithmetic number, because the mean of its divisors is an integer number (588244950).

Almost surely, 26000098031 is an apocalyptic number.

6000098031 is a deficient number, since it is larger than the sum of its proper divisors (3411821169).

6000098031 is a wasteful number, since it uses less digits than its factorization.

6000098031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13072135 (or 13072129 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 6000098031 is about 77460.2997089477. The cubic root of 6000098031 is about 1817.1304891198.

Adding to 6000098031 its reverse (1308900006), we get a palindrome (7308998037).

The spelling of 6000098031 in words is "six billion, ninety-eight thousand, thirty-one".

Divisors: 1 3 9 17 27 51 153 459 13072109 39216327 117648981 222225853 352946943 666677559 2000032677 6000098031