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1030123021320 = 233255021569897
BaseRepresentation
bin11101111110110000001…
…11011110010000001000
310122110221001012110101100
432333120013132100020
5113334142443140240
62105122035221400
7134265260131431
oct16773007362010
93573831173340
101030123021320
11367966654738
1214778a147860
13761a8ca4b03
1437c02d56488
151bbe1090e30
hexefd81de408

1030123021320 has 96 divisors (see below), whose sum is σ = 3348572474520. Its totient is φ = 274644280320.

The previous prime is 1030123021309. The next prime is 1030123021321. The reversal of 1030123021320 is 231203210301.

1030123021320 is a `hidden beast` number, since 1 + 0 + 30 + 12 + 302 + 1 + 320 = 666.

1030123021320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 967771932516 + 62351088804 = 983754^2 + 249702^2 .

It is a super-2 number, since 2×10301230213202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1030123021293 and 1030123021302.

It is not an unprimeable number, because it can be changed into a prime (1030123021321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1522612 + ... + 2092508.

Almost surely, 21030123021320 is an apocalyptic number.

1030123021320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030123021320 is an abundant number, since it is smaller than the sum of its proper divisors (2318449453200).

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

1030123021320 is a wasteful number, since it uses less digits than its factorization.

1030123021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574935 (or 574928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1030123021320 its reverse (231203210301), we get a palindrome (1261326231621).

The spelling of 1030123021320 in words is "one trillion, thirty billion, one hundred twenty-three million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 5021 10042 15063 20084 25105 30126 40168 45189 50210 60252 75315 90378 100420 120504 150630 180756 200840 225945 301260 361512 451890 569897 602520 903780 1139794 1709691 1807560 2279588 2849485 3419382 4559176 5129073 5698970 6838764 8548455 10258146 11397940 13677528 17096910 20516292 22795880 25645365 34193820 41032584 51290730 68387640 102581460 205162920 2861452837 5722905674 8584358511 11445811348 14307264185 17168717022 22891622696 25753075533 28614528370 34337434044 42921792555 51506151066 57229056740 68674868088 85843585110 103012302132 114458113480 128765377665 171687170220 206024604264 257530755330 343374340440 515061510660 1030123021320