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1032032122020 = 2232510355665163
BaseRepresentation
bin11110000010010011110…
…10000111010010100100
310122122212002111211012200
433001021322013102210
5113402100210401040
62110035314014500
7134363501203614
oct17011172072244
93578762454180
101032032122020
11368756256309
12148021577430
1376421673ab3
1437d4470ca44
151bca399a630
hexf049e874a4

1032032122020 has 72 divisors (see below), whose sum is σ = 3160890672576. Its totient is φ = 272536633152.

The previous prime is 1032032122019. The next prime is 1032032122031. The reversal of 1032032122020 is 202212302301.

1032032122020 is a `hidden beast` number, since 1 + 0 + 320 + 321 + 2 + 2 + 0 + 20 = 666.

It is a super-3 number, since 3×10320321220203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 1032032121984 and 1032032122002.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27814042 + ... + 27851121.

Almost surely, 21032032122020 is an apocalyptic number.

1032032122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1032032122020 is an abundant number, since it is smaller than the sum of its proper divisors (2128858550556).

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

1032032122020 is a wasteful number, since it uses less digits than its factorization.

1032032122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55665281 (or 55665276 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1032032122020 its reverse (202212302301), we get a palindrome (1234244424321).

The spelling of 1032032122020 in words is "one trillion, thirty-two billion, thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 103 180 206 309 412 515 618 927 1030 1236 1545 1854 2060 3090 3708 4635 6180 9270 18540 55665163 111330326 166995489 222660652 278325815 333990978 500986467 556651630 667981956 834977445 1001972934 1113303260 1669954890 2003945868 2504932335 3339909780 5009864670 5733511789 10019729340 11467023578 17200535367 22934047156 28667558945 34401070734 51601606101 57335117890 68802141468 86002676835 103203212202 114670235780 172005353670 206406424404 258008030505 344010707340 516016061010 1032032122020