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1032020321130 = 2325181269235513
BaseRepresentation
bin11110000010010010011…
…01000110001101101010
310122122211021022021102200
433001021031012031222
5113402034200234010
62110034213041030
7134363265663651
oct17011115061552
93578737267380
101032020321130
1136874a626107
12148019626176
137641c0a1616
1437d42d1a198
151bca2918cc0
hexf04934636a

1032020321130 has 96 divisors (see below), whose sum is σ = 2708118962640. Its totient is φ = 272666373120.

The previous prime is 1032020321099. The next prime is 1032020321141. The reversal of 1032020321130 is 311230202301.

1032020321130 is a `hidden beast` number, since 1 + 0 + 320 + 20 + 321 + 1 + 3 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 52983292761 + 979037028369 = 230181^2 + 989463^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4264254 + ... + 4499766.

Almost surely, 21032020321130 is an apocalyptic number.

1032020321130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032020321130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354059481320).

1032020321130 is an abundant number, since it is smaller than the sum of its proper divisors (1676098641510).

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

1032020321130 is a wasteful number, since it uses less digits than its factorization.

1032020321130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235976 (or 235973 counting only the distinct ones).

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

Adding to 1032020321130 its reverse (311230202301), we get a palindrome (1343250523431).

The spelling of 1032020321130 in words is "one trillion, thirty-two billion, twenty million, three hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 269 362 538 543 807 905 1086 1345 1614 1629 1810 2421 2690 2715 3258 4035 4842 5430 8070 8145 12105 16290 24210 48689 97378 146067 235513 243445 292134 438201 471026 486890 706539 730335 876402 1177565 1413078 1460670 2119617 2191005 2355130 3532695 4239234 4382010 7065390 10598085 21196170 42627853 63352997 85255706 126705994 127883559 190058991 213139265 255767118 316764985 380117982 383650677 426278530 570176973 633529970 639417795 767301354 950294955 1140353946 1278835590 1900589910 1918253385 2850884865 3836506770 5701769730 11466892457 22933784914 34400677371 57334462285 68801354742 103202032113 114668924570 172003386855 206404064226 344006773710 516010160565 1032020321130