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1301123351660 = 2251117971945953
BaseRepresentation
bin10010111011110000111…
…111101100010001101100
311121101102112010122000012
4102323300333230101230
5132304200034223120
62433421112552352
7163001023003166
oct22736077542154
94541375118005
101301123351660
114618922369a0
121901bb6b26b8
1395906a62c72
1446d90845936
1523ca28701c5
hex12ef0fec46c

1301123351660 has 96 divisors (see below), whose sum is σ = 3001641753600. Its totient is φ = 469827952640.

The previous prime is 1301123351629. The next prime is 1301123351681. The reversal of 1301123351660 is 661533211031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28291244 + ... + 28337196.

It is an arithmetic number, because the mean of its divisors is an integer number (31267101600).

Almost surely, 21301123351660 is an apocalyptic number.

1301123351660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1301123351660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500820876800).

1301123351660 is an abundant number, since it is smaller than the sum of its proper divisors (1700518401940).

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

1301123351660 is a wasteful number, since it uses less digits than its factorization.

1301123351660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46871 (or 46869 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

Adding to 1301123351660 its reverse (661533211031), we get a palindrome (1962656562691).

The spelling of 1301123351660 in words is "one trillion, three hundred one billion, one hundred twenty-three million, three hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 719 895 1438 1790 1969 2876 3580 3595 3938 7190 7876 7909 9845 14380 15818 19690 31636 39380 39545 45953 79090 91906 128701 158180 183812 229765 257402 459530 505483 514804 643505 919060 1010966 1287010 1415711 2021932 2527415 2574020 2831422 5054830 5662844 7078555 8225587 10109660 14157110 16451174 28314220 32902348 33040207 41127935 66080414 82255870 90481457 132160828 164511740 165201035 180962914 330402070 361925828 363442277 452407285 660804140 726884554 904814570 1453769108 1809629140 1817211385 3634422770 5914197053 7268845540 11828394106 23656788212 29570985265 59141970530 65056167583 118283941060 130112335166 260224670332 325280837915 650561675830 1301123351660