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1303100132103 = 327211594552967
BaseRepresentation
bin10010111101100110110…
…100100000101100000111
311121120112021210110222200
4102331212310200230013
5132322222113211403
62434345210125543
7163101015236400
oct22754664405407
94546467713880
101303100132103
11462707064340
121906717208b3
1395b6046a633
14470db1b89a7
1523d6b197ca3
hex12f66d20b07

1303100132103 has 72 divisors (see below), whose sum is σ = 2429099487360. Its totient is φ = 665461510560.

The previous prime is 1303100132083. The next prime is 1303100132119. The reversal of 1303100132103 is 3012310013031.

It is a happy number.

1303100132103 is a `hidden beast` number, since 1 + 30 + 310 + 0 + 1 + 321 + 0 + 3 = 666.

It is not a de Polignac number, because 1303100132103 - 220 = 1303099083527 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1303100131103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1990275 + ... + 2562692.

It is an arithmetic number, because the mean of its divisors is an integer number (33737492880).

Almost surely, 21303100132103 is an apocalyptic number.

1303100132103 is a deficient number, since it is larger than the sum of its proper divisors (1125999355257).

1303100132103 is a wasteful number, since it uses less digits than its factorization.

1303100132103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553057 (or 4553047 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1303100132103 its reverse (3012310013031), we get a palindrome (4315410145134).

The spelling of 1303100132103 in words is "one trillion, three hundred three billion, one hundred million, one hundred thirty-two thousand, one hundred three".

Divisors: 1 3 7 9 11 21 33 49 59 63 77 99 147 177 231 413 441 531 539 649 693 1239 1617 1947 2891 3717 4543 4851 5841 8673 13629 26019 31801 40887 95403 286209 4552967 13658901 31870769 40976703 50082637 95612307 150247911 223095383 268625053 286836921 350578459 450743733 669286149 805875159 1051735377 1880375371 2007858447 2417625477 2454049213 2954875583 3155206131 5641126113 7362147639 8864626749 13162627597 16923378339 20684129081 22086442917 26593880247 39487882791 62052387243 118463648373 144788903567 186157161729 434366710701 1303100132103