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1301323223120 = 24573322191733
BaseRepresentation
bin10010111011111100111…
…010001001000001010000
311121101221110020011002212
4102323330322021001100
5132310102221114440
62433453012531252
7163006000613624
oct22737472110120
94541843204085
101301323223120
11461985041318
12190256620b28
13959392a38bb
1446dad1d3184
1523cb51a1465
hex12efce89050

1301323223120 has 40 divisors (see below), whose sum is σ = 3029704292616. Its totient is φ = 519819130368.

The previous prime is 1301323223099. The next prime is 1301323223149. The reversal of 1301323223120 is 213223231031.

It can be written as a sum of positive squares in 4 ways, for example, as 244202012224 + 1057121210896 = 494168^2 + 1028164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 11037227 + ... + 11154506.

Almost surely, 21301323223120 is an apocalyptic number.

1301323223120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1301323223120 is an abundant number, since it is smaller than the sum of its proper divisors (1728381069496).

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

1301323223120 is a wasteful number, since it uses less digits than its factorization.

1301323223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22192479 (or 22192473 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 1301323223120 its reverse (213223231031), we get a palindrome (1514546454151).

The spelling of 1301323223120 in words is "one trillion, three hundred one billion, three hundred twenty-three million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 733 1466 2932 3665 5864 7330 11728 14660 29320 58640 22191733 44383466 88766932 110958665 177533864 221917330 355067728 443834660 887669320 1775338640 16266540289 32533080578 65066161156 81332701445 130132322312 162665402890 260264644624 325330805780 650661611560 1301323223120