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1301131322120 = 23579679480101
BaseRepresentation
bin10010111011110001011…
…110000110001100001000
311121101110002010120102102
4102323301132012030020
5132304204104301440
62433421555452532
7163001150520530
oct22736136061410
94541402116372
101301131322120
11461896790253
121902022b7148
13959085c3b06
1446d9191c4c0
1523ca33e6b15
hex12ef1786308

1301131322120 has 64 divisors (see below), whose sum is σ = 3346118899200. Its totient is φ = 446055148800.

The previous prime is 1301131322083. The next prime is 1301131322129. The reversal of 1301131322120 is 212231311031.

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 = 1301131322092 and 1301131322101.

It is not an unprimeable number, because it can be changed into a prime (1301131322129) by changing a digit.

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, 2470070 + ... + 2950170.

It is an arithmetic number, because the mean of its divisors is an integer number (52283107800).

Almost surely, 21301131322120 is an apocalyptic number.

1301131322120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301131322120 is an abundant number, since it is smaller than the sum of its proper divisors (2044987577080).

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

1301131322120 is a wasteful number, since it uses less digits than its factorization.

1301131322120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489798 (or 489794 counting only the distinct ones).

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

Adding to 1301131322120 its reverse (212231311031), we get a palindrome (1513362633151).

The spelling of 1301131322120 in words is "one trillion, three hundred one billion, one hundred thirty-one million, three hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 9679 19358 38716 48395 67753 77432 96790 135506 193580 271012 338765 387160 480101 542024 677530 960202 1355060 1920404 2400505 2710120 3360707 3840808 4801010 6721414 9602020 13442828 16803535 19204040 26885656 33607070 67214140 134428280 4646897579 9293795158 18587590316 23234487895 32528283053 37175180632 46468975790 65056566106 92937951580 130113132212 162641415265 185875903160 260226264424 325282830530 650565661060 1301131322120