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1001020021110 = 232567212372003
BaseRepresentation
bin11101001000100010111…
…00010101100101110110
310112200210210202212101200
432210101130111211312
5112400042111133420
62043510125033330
7132215131534344
oct16442134254566
93480723685350
101001020021110
1135659178394a
121420076b5846
137351b6c5925
1436641ac6994
151b08b09eb90
hexe911715976

1001020021110 has 144 divisors (see below), whose sum is σ = 2645533393776. Its totient is φ = 262610764416.

The previous prime is 1001020021103. The next prime is 1001020021163. The reversal of 1001020021110 is 111200201001.

It is a happy number.

1001020021110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001020021092 and 1001020021101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 499759369 + ... + 499761371.

It is an arithmetic number, because the mean of its divisors is an integer number (18371759679).

Almost surely, 21001020021110 is an apocalyptic number.

1001020021110 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 1001020021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1322766696888).

1001020021110 is an abundant number, since it is smaller than the sum of its proper divisors (1644513372666).

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

1001020021110 is a wasteful number, since it uses less digits than its factorization.

1001020021110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3387 (or 3317 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1001020021110 its reverse (111200201001), we get a palindrome (1112220222111).

The spelling of 1001020021110 in words is "one trillion, one billion, twenty million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 67 90 134 201 335 402 603 670 1005 1206 1237 2003 2010 2474 3015 3711 4006 4489 6009 6030 6185 7422 8978 10015 11133 12018 12370 13467 18027 18555 20030 22266 22445 26934 30045 36054 37110 40401 44890 55665 60090 67335 80802 82879 90135 111330 134201 134670 165758 180270 202005 248637 268402 402603 404010 414395 497274 671005 745911 805206 828790 1207809 1243185 1342010 1491822 2013015 2415618 2477711 2486370 3729555 4026030 4955422 5552893 6039045 7433133 7459110 8991467 11105786 12078090 12388555 14866266 16658679 17982934 22299399 24777110 26974401 27764465 33317358 37165665 44598798 44957335 49976037 53948802 55528930 74331330 80923203 83293395 89914670 99952074 111496995 134872005 161846406 166006637 166586790 222993990 249880185 269744010 332013274 404616015 498019911 499760370 809232030 830033185 996039822 1494059733 1660066370 2490099555 2988119466 4980199110 7470298665 11122444679 14940597330 22244889358 33367334037 55612223395 66734668074 100102002111 111224446790 166836670185 200204004222 333673340370 500510010555 1001020021110