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14301103123120 = 2451121177020159
BaseRepresentation
bin1101000000011011110000…
…1010111110101010110000
31212122011122110120102221111
43100012330022332222300
53333302124344414440
650225500332003104
73004135444564342
oct320067412765260
955564573512844
1014301103123120
11461407797a690
12172b796600494
137c9785487c18
14376269cc3292
1519c01035d4ea
hexd01bc2beab0

14301103123120 has 80 divisors (see below), whose sum is σ = 36444707389440. Its totient is φ = 5175754617600.

The previous prime is 14301103123103. The next prime is 14301103123129. The reversal of 14301103123120 is 2132130110341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×143011031231202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 14301103123091 and 14301103123100.

It is not an unprimeable number, because it can be changed into a prime (14301103123129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38324400 + ... + 38695759.

It is an arithmetic number, because the mean of its divisors is an integer number (455558842368).

Almost surely, 214301103123120 is an apocalyptic number.

14301103123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14301103123120 is an abundant number, since it is smaller than the sum of its proper divisors (22143604266320).

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

14301103123120 is a wasteful number, since it uses less digits than its factorization.

14301103123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77020394 (or 77020388 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 14301103123120 its reverse (2132130110341), we get a palindrome (16433233233461).

The spelling of 14301103123120 in words is "fourteen trillion, three hundred one billion, one hundred three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 211 220 422 440 844 880 1055 1688 2110 2321 3376 4220 4642 8440 9284 11605 16880 18568 23210 37136 46420 92840 185680 77020159 154040318 308080636 385100795 616161272 770201590 847221749 1232322544 1540403180 1694443498 3080806360 3388886996 4236108745 6161612720 6777773992 8472217490 13555547984 16251253549 16944434980 32502507098 33888869960 65005014196 67777739920 81256267745 130010028392 162512535490 178763789039 260020056784 325025070980 357527578078 650050141960 715055156156 893818945195 1300100283920 1430110312312 1787637890390 2860220624624 3575275780780 7150551561560 14301103123120