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120330102321 = 3211131747117017
BaseRepresentation
bin111000000010000111…
…0111010011000110001
3102111121000022112202100
41300010032322120301
53432414001233241
6131140123411013
711456614664562
oct1600416723061
9374530275670
10120330102321
1147039229960
121b3a2383a69
13b4686c48a0
145b77114169
1531e3e5d9b6
hex1c043ba631

120330102321 has 96 divisors (see below), whose sum is σ = 220810157568. Its totient is φ = 62009118720.

The previous prime is 120330102311. The next prime is 120330102329. The reversal of 120330102321 is 123201033021.

120330102321 is a `hidden beast` number, since 1 + 2 + 0 + 330 + 10 + 2 + 321 = 666.

It is not a de Polignac number, because 120330102321 - 25 = 120330102289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120330102294 and 120330102303.

It is not an unprimeable number, because it can be changed into a prime (120330102329) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 969805 + ... + 1086821.

It is an arithmetic number, because the mean of its divisors is an integer number (2300105808).

Almost surely, 2120330102321 is an apocalyptic number.

120330102321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120330102321 is a deficient number, since it is larger than the sum of its proper divisors (100480055247).

120330102321 is a wasteful number, since it uses less digits than its factorization.

120330102321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117111 (or 117108 counting only the distinct ones).

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

Adding to 120330102321 its reverse (123201033021), we get a palindrome (243531135342).

The spelling of 120330102321 in words is "one hundred twenty billion, three hundred thirty million, one hundred two thousand, three hundred twenty-one".

Divisors: 1 3 9 11 13 17 33 39 47 51 99 117 141 143 153 187 221 423 429 517 561 611 663 799 1287 1551 1683 1833 1989 2397 2431 4653 5499 6721 7191 7293 8789 10387 20163 21879 26367 31161 60489 79101 93483 114257 117017 342771 351051 1028313 1053153 1287187 1521221 1989289 3861561 4563663 5499799 5967867 11584683 13690989 16499397 16733431 17903601 21882179 25860757 49498191 50200293 60497789 65646537 71497387 77582271 93496583 150600879 181493367 196939611 214492161 232746813 280489749 284468327 544480101 643476483 786471257 841469247 853404981 1028462413 1215455579 2359413771 2560214943 3085387239 3646366737 7078241313 9256161717 10939100211 13370011369 40110034107 120330102321