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330120011322 = 233198326914411
BaseRepresentation
bin1001100110111001010…
…11111001111000111010
31011120002122001010201000
410303130223321320322
520402041210330242
6411353253305430
732564452540413
oct4633453717072
91146078033630
10330120011322
1111800415a642
1253b90635276
1325190022b0a
1411d994aa80a
1588c1ae1a4c
hex4cdcaf9e3a

330120011322 has 128 divisors (see below), whose sum is σ = 784473984000. Its totient is φ = 102602427840.

The previous prime is 330120011297. The next prime is 330120011399. The reversal of 330120011322 is 223110021033.

330120011322 is a `hidden beast` number, since 330 + 1 + 2 + 0 + 0 + 11 + 322 = 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 = 330120011295 and 330120011304.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 22900297 + ... + 22914707.

It is an arithmetic number, because the mean of its divisors is an integer number (6128703000).

Almost surely, 2330120011322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330120011322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392236992000).

330120011322 is an abundant number, since it is smaller than the sum of its proper divisors (454353972678).

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

330120011322 is a wasteful number, since it uses less digits than its factorization.

330120011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14793 (or 14787 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 330120011322 its reverse (223110021033), we get a palindrome (553230032355).

The spelling of 330120011322 in words is "three hundred thirty billion, one hundred twenty million, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 83 114 166 171 249 269 342 498 513 538 747 807 1026 1494 1577 1614 2241 2421 3154 4482 4731 4842 5111 7263 9462 10222 14193 14411 14526 15333 22327 28386 28822 30666 42579 43233 44654 45999 66981 85158 86466 91998 129699 133962 137997 200943 259398 273809 275994 389097 401886 424213 547618 602829 778194 821427 848426 1196113 1205658 1272639 1642854 2392226 2464281 2545278 3588339 3817917 3876559 4928562 7176678 7392843 7635834 7753118 10765017 11453751 11629677 14785686 21530034 22726147 22907502 23259354 32295051 34889031 45452294 64590102 68178441 69778062 73654621 104667093 136356882 147309242 204535323 209334186 220963863 321754397 409070646 441927726 613605969 643508794 662891589 965263191 1227211938 1325783178 1930526382 1988674767 2895789573 3977349534 5791579146 6113333543 8687368719 12226667086 17374737438 18340000629 36680001258 55020001887 110040003774 165060005661 330120011322