Search a number
-
+
120331310323120 = 24513678291705807
BaseRepresentation
bin11011010111000011010001…
…000000011101010110110000
3120210001120010220121021110121
4123113003101000131112300
5111233002010420314440
61103531235114540024
734226436021362431
oct3327032100352660
9523046126537417
10120331310323120
1135383249712706
12115b5020437614
13521b269c312a0
1421a00d0667488
15dda1609bc34a
hex6d70d101d5b0

120331310323120 has 80 divisors (see below), whose sum is σ = 301295707090560. Its totient is φ = 44429341197312.

The previous prime is 120331310323111. The next prime is 120331310323129. The reversal of 120331310323120 is 21323013133021.

It is an interprime number because it is at equal distance from previous prime (120331310323111) and next prime (120331310323129).

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

It is not an unprimeable number, because it can be changed into a prime (120331310323129) 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, 69689257 + ... + 71395063.

It is an arithmetic number, because the mean of its divisors is an integer number (3766196338632).

Almost surely, 2120331310323120 is an apocalyptic number.

120331310323120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120331310323120 is an abundant number, since it is smaller than the sum of its proper divisors (180964396767440).

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

120331310323120 is a wasteful number, since it uses less digits than its factorization.

120331310323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773662 (or 1773656 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 120331310323120 its reverse (21323013133021), we get a palindrome (141654323456141).

The spelling of 120331310323120 in words is "one hundred twenty trillion, three hundred thirty-one billion, three hundred ten million, three hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 67829 135658 271316 339145 542632 678290 881777 1085264 1356580 1705807 1763554 2713160 3411614 3527108 4408885 5426320 6823228 7054216 8529035 8817770 13646456 14108432 17058070 17635540 22175491 27292912 34116140 35271080 44350982 68232280 70542160 88701964 110877455 136464560 177403928 221754910 354807856 443509820 887019640 1774039280 115703183003 231406366006 462812732012 578515915015 925625464024 1157031830030 1504141379039 1851250928048 2314063660060 3008282758078 4628127320120 6016565516156 7520706895195 9256254640240 12033131032312 15041413790390 24066262064624 30082827580780 60165655161560 120331310323120