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1030123013320 = 23589401721597
BaseRepresentation
bin11101111110110000001…
…11011100010011001000
310122110221001012001102001
432333120013130103020
5113334142442411240
62105122035120344
7134265260066212
oct16773007342310
93573831161361
101030123013320
11367966649725
1214778a1430b4
13761a8ca128b
1437c02d535b2
151bbe108d89a
hexefd81dc4c8

1030123013320 has 64 divisors (see below), whose sum is σ = 2349667407600. Its totient is φ = 406402867200.

The previous prime is 1030123013233. The next prime is 1030123013327. The reversal of 1030123013320 is 233103210301.

It can be written as a sum of positive squares in 8 ways, for example, as 380464445124 + 649658568196 = 616818^2 + 806014^2 .

It is a super-2 number, since 2×10301230133202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1030123013327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1066762 + ... + 1788358.

Almost surely, 21030123013320 is an apocalyptic number.

1030123013320 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 1030123013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174833703800).

1030123013320 is an abundant number, since it is smaller than the sum of its proper divisors (1319544394280).

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

1030123013320 is a wasteful number, since it uses less digits than its factorization.

1030123013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722098 (or 722094 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1030123013320 its reverse (233103210301), we get a palindrome (1263226223621).

The spelling of 1030123013320 in words is "one trillion, thirty billion, one hundred twenty-three million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 401 445 712 802 890 1604 1780 2005 3208 3560 4010 8020 16040 35689 71378 142756 178445 285512 356890 713780 721597 1427560 1443194 2886388 3607985 5772776 7215970 14431940 28863880 64222133 128444266 256888532 289360397 321110665 513777064 578720794 642221330 1157441588 1284442660 1446801985 2314883176 2568885320 2893603970 5787207940 11574415880 25753075333 51506150666 103012301332 128765376665 206024602664 257530753330 515061506660 1030123013320