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30312213001133 = 7292932767184181
BaseRepresentation
bin1101110010001100111001…
…01100000011001110101101
310222022211010020112112012112
412321012130230003032231
512433113403012014013
6144245123255213405
76245661616202060
oct671063454031655
9128284106475175
1030312213001133
119727379001918
123496862977265
1313bb57758c53b
1476b1945148d7
1537875477eba8
hex1b919cb033ad

30312213001133 has 32 divisors (see below), whose sum is σ = 35972601154560. Its totient is φ = 24991180865280.

The previous prime is 30312213001117. The next prime is 30312213001157. The reversal of 30312213001133 is 33110031221303.

It is not a de Polignac number, because 30312213001133 - 24 = 30312213001117 is a prime.

It is a super-3 number, since 3×303122130011333 (a number of 41 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 30312213001099 and 30312213001108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30312213001193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164486303 + ... + 164670483.

It is an arithmetic number, because the mean of its divisors is an integer number (1124143786080).

Almost surely, 230312213001133 is an apocalyptic number.

It is an amenable number.

30312213001133 is a deficient number, since it is larger than the sum of its proper divisors (5660388153427).

30312213001133 is a wasteful number, since it uses less digits than its factorization.

30312213001133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187277.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 30312213001133 its reverse (33110031221303), we get a palindrome (63422244222436).

The spelling of 30312213001133 in words is "thirty trillion, three hundred twelve billion, two hundred thirteen million, one thousand, one hundred thirty-three".

Divisors: 1 7 29 203 293 2051 2767 8497 19369 59479 80243 184181 561701 810731 1289267 5341249 5675117 23511199 37388743 53965033 164578393 377755231 509628827 1564985957 3567401789 10954901699 14779235983 103454651881 149321246311 1045248724177 4330316143019 30312213001133