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1001130033213 = 33711992624311
BaseRepresentation
bin11101001000110000000…
…00000000000000111101
310112201002110210001122000
432210120000000000331
5112400303242030323
62043525055012513
7132220635606342
oct16443000000075
93481073701560
101001130033213
11356638893642
1214203850a139
137353843364b
14366525627c9
151b095a80e43
hexe91800003d

1001130033213 has 32 divisors (see below), whose sum is σ = 1511603712000. Its totient is φ = 654712858800.

The previous prime is 1001130033209. The next prime is 1001130033223. The reversal of 1001130033213 is 3123300311001.

It is a happy number.

1001130033213 is a `hidden beast` number, since 10 + 0 + 11 + 300 + 332 + 13 = 666.

It is not a de Polignac number, because 1001130033213 - 22 = 1001130033209 is a prime.

It is a super-2 number, since 2×10011300332132 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001130033223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 930673 + ... + 1693638.

It is an arithmetic number, because the mean of its divisors is an integer number (47237616000).

Almost surely, 21001130033213 is an apocalyptic number.

It is an amenable number.

1001130033213 is a deficient number, since it is larger than the sum of its proper divisors (510473678787).

1001130033213 is a wasteful number, since it uses less digits than its factorization.

1001130033213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2624590 (or 2624584 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1001130033213 its reverse (3123300311001), we get a palindrome (4124430344214).

The spelling of 1001130033213 in words is "one trillion, one billion, one hundred thirty million, thirty-three thousand, two hundred thirteen".

Divisors: 1 3 9 27 71 199 213 597 639 1791 1917 5373 14129 42387 127161 381483 2624311 7872933 23618799 70856397 186326081 522237889 558978243 1566713667 1676934729 4700141001 5030804187 14100423003 37078890119 111236670357 333710011071 1001130033213