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1031002330221 = 32277413558897
BaseRepresentation
bin11110000000011001000…
…01110001010001101101
310122120012022202222102200
433000030201301101231
5113342443044031341
62105345210012113
7134326125132303
oct17001441612155
93576168688380
101031002330221
11368277a34506
12147994717039
13762b9205636
1437c87a48273
151bc43381db6
hexf00c87146d

1031002330221 has 12 divisors (see below), whose sum is σ = 1494601857372. Its totient is φ = 684853531776.

The previous prime is 1031002330217. The next prime is 1031002330277. The reversal of 1031002330221 is 1220332001301.

1031002330221 is a `hidden beast` number, since 1 + 0 + 310 + 0 + 2 + 330 + 2 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 287934194025 + 743068136196 = 536595^2 + 862014^2 .

It is not a de Polignac number, because 1031002330221 - 22 = 1031002330217 is a prime.

It is a super-2 number, since 2×10310023302212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1031002330194 and 1031002330203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1031002334221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 206776956 + ... + 206781941.

It is an arithmetic number, because the mean of its divisors is an integer number (124550154781).

Almost surely, 21031002330221 is an apocalyptic number.

It is an amenable number.

1031002330221 is a deficient number, since it is larger than the sum of its proper divisors (463599527151).

1031002330221 is a wasteful number, since it uses less digits than its factorization.

1031002330221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413559180 (or 413559177 counting only the distinct ones).

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

Adding to 1031002330221 its reverse (1220332001301), we get a palindrome (2251334331522).

The spelling of 1031002330221 in words is "one trillion, thirty-one billion, two million, three hundred thirty thousand, two hundred twenty-one".

Divisors: 1 3 9 277 831 2493 413558897 1240676691 3722030073 114555814469 343667443407 1031002330221