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2330130033 = 327112615011
BaseRepresentation
bin1000101011100010…
…1111011001110001
320000101112212111100
42022320233121301
514233003130113
61023114435013
7111512531010
oct21270573161
96011485440
102330130033
11a96330200
12550432a69
132b199438a
14181672a77
15d9873d73
hex8ae2f671

2330130033 has 72 divisors (see below), whose sum is σ = 4298211008. Its totient is φ = 1190376000.

The previous prime is 2330130029. The next prime is 2330130059. The reversal of 2330130033 is 3300310332.

2330130033 is a `hidden beast` number, since 2 + 330 + 1 + 300 + 33 = 666.

It is not a de Polignac number, because 2330130033 - 22 = 2330130029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2330129988 and 2330130015.

It is not an unprimeable number, because it can be changed into a prime (2330130013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 462498 + ... + 467508.

Almost surely, 22330130033 is an apocalyptic number.

It is an amenable number.

2330130033 is a deficient number, since it is larger than the sum of its proper divisors (1968080975).

2330130033 is a wasteful number, since it uses less digits than its factorization.

2330130033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

The square root of 2330130033 is about 48271.4204576580. The cubic root of 2330130033 is about 1325.7451667970.

Adding to 2330130033 its reverse (3300310332), we get a palindrome (5630440365).

The spelling of 2330130033 in words is "two billion, three hundred thirty million, one hundred thirty thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 61 63 77 99 121 183 231 363 427 549 671 693 847 1089 1281 2013 2541 3843 4697 5011 6039 7381 7623 14091 15033 22143 35077 42273 45099 51667 55121 66429 105231 155001 165363 305671 315693 385847 465003 496089 606331 917013 1157541 1818993 2139697 2751039 3362381 3472623 4244317 5456979 6419091 10087143 12732951 19257273 23536667 30261429 36986191 38198853 70610001 110958573 211830003 258903337 332875719 776710011 2330130033