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130330202202333 = 32731107623676023
BaseRepresentation
bin11101101000100011011101…
…011001111110000011011101
3122002110110000212201011100100
4131220203131121332003131
5114040312223230433313
61141104511321051313
736311021623132140
oct3550433531760335
9562413025634310
10130330202202333
1138588801495121
121274aa49026b39
135795115624723
142428030542057
1510102c34c3173
hex7688dd67e0dd

130330202202333 has 48 divisors (see below), whose sum is σ = 224164131250176. Its totient is φ = 71398430998560.

The previous prime is 130330202202331. The next prime is 130330202202349. The reversal of 130330202202333 is 333202202033031.

130330202202333 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 302 + 0 + 2 + 20 + 2 + 333 = 666.

It is not a de Polignac number, because 130330202202333 - 21 = 130330202202331 is a prime.

It is a super-2 number, since 2×1303302022023332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130330202202297 and 130330202202306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130330202202331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311629041 + ... + 312046982.

It is an arithmetic number, because the mean of its divisors is an integer number (4670086067712).

Almost surely, 2130330202202333 is an apocalyptic number.

It is an amenable number.

130330202202333 is a deficient number, since it is larger than the sum of its proper divisors (93833929047843).

130330202202333 is a wasteful number, since it uses less digits than its factorization.

130330202202333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623676174 (or 623676171 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 27.

Adding to 130330202202333 its reverse (333202202033031), we get a palindrome (463532404235364).

The spelling of 130330202202333 in words is "one hundred thirty trillion, three hundred thirty billion, two hundred two million, two hundred two thousand, three hundred thirty-three".

Divisors: 1 3 7 9 21 31 63 93 107 217 279 321 651 749 963 1953 2247 3317 6741 9951 23219 29853 69657 208971 623676023 1871028069 4365732161 5613084207 13097196483 19333956713 39291589449 58001870139 66733334461 135337696991 174005610417 200200003383 406013090973 467133341227 600600010149 1218039272919 1401400023681 2068733368291 4204200071043 6206200104873 14481133578037 18618600314619 43443400734111 130330202202333