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330130103022 = 232316130493181
BaseRepresentation
bin1001100110111010100…
…10011001101011101110
31011120010100000211220200
410303131102121223232
520402101301244042
6411354253454330
732564634401316
oct4633522315356
91146110024820
10330130103022
11118009922695
1253b93aa13a6
1325192147335
1411d9a976446
1588c2936c4c
hex4cdd499aee

330130103022 has 96 divisors (see below), whose sum is σ = 750941817600. Its totient is φ = 104680512000.

The previous prime is 330130102979. The next prime is 330130103027. The reversal of 330130103022 is 220301031033.

330130103022 is a `hidden beast` number, since 330 + 1 + 30 + 1 + 0 + 302 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 330130102986 and 330130103004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330130103027) 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, 103780272 + ... + 103783452.

It is an arithmetic number, because the mean of its divisors is an integer number (7822310600).

Almost surely, 2330130103022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330130103022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375470908800).

330130103022 is an abundant number, since it is smaller than the sum of its proper divisors (420811714578).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

330130103022 is a wasteful number, since it uses less digits than its factorization.

330130103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6330 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 330130103022 its reverse (220301031033), we get a palindrome (550431134055).

The spelling of 330130103022 in words is "three hundred thirty billion, one hundred thirty million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 61 62 93 122 183 186 279 366 549 558 1098 1891 3049 3181 3782 5673 6098 6362 9147 9543 11346 17019 18294 19086 27441 28629 34038 54882 57258 94519 98611 185989 189038 194041 197222 283557 295833 371978 388082 557967 567114 582123 591666 850671 887499 1115934 1164246 1673901 1701342 1746369 1774998 3347802 3492738 5765659 6015271 9698869 11531318 12030542 17296977 18045813 19397738 29096607 34593954 36091626 51890931 54137439 58193214 87289821 103781862 108274878 174579642 300664939 591631009 601329878 901994817 1183262018 1774893027 1803989634 2705984451 3549786054 5324679081 5411968902 10649358162 18340561279 36681122558 55021683837 110043367674 165065051511 330130103022