Search a number
-
+
12103130121320 = 235770111616529
BaseRepresentation
bin1011000000011111101011…
…0001011000010001101000
31120212001021221121002021102
42300013322301120101220
53041244202302340240
641424033510300532
72356264563411110
oct260077261302150
946761257532242
1012103130121320
1139469aa475427
121435801957748
1369a421842604
142dbb1a638040
1515ec6bd53815
hexb01fac58468

12103130121320 has 64 divisors (see below), whose sum is σ = 31122828979200. Its totient is φ = 4149578695680.

The previous prime is 12103130121293. The next prime is 12103130121377. The reversal of 12103130121320 is 2312103130121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 12103130121292 and 12103130121301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19322816 + ... + 19939344.

It is an arithmetic number, because the mean of its divisors is an integer number (486294202800).

Almost surely, 212103130121320 is an apocalyptic number.

12103130121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12103130121320 is an abundant number, since it is smaller than the sum of its proper divisors (19019698857880).

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

12103130121320 is a wasteful number, since it uses less digits than its factorization.

12103130121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686658 (or 686654 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 12103130121320 its reverse (2312103130121), we get a palindrome (14415233251441).

The spelling of 12103130121320 in words is "twelve trillion, one hundred three billion, one hundred thirty million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 70111 140222 280444 350555 490777 560888 616529 701110 981554 1233058 1402220 1963108 2453885 2466116 2804440 3082645 3926216 4315703 4907770 4932232 6165290 8631406 9815540 12330580 17262812 19631080 21578515 24661160 34525624 43157030 86314060 172628120 43225464719 86450929438 172901858876 216127323595 302578253033 345803717752 432254647190 605156506066 864509294380 1210313012132 1512891265165 1729018588760 2420626024264 3025782530330 6051565060660 12103130121320