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2001003222132 = 2232291916669753
BaseRepresentation
bin11101000111100101000…
…101100001010001110100
321002021221100120211000100
4131013211011201101310
5230241023311102012
64131125335314100
7264365503515645
oct35074505412164
97067840524010
102001003222132
11701691175492
12283983b1b930
1311690335c035
146cbc5bd96cc
15370b60e88dc
hex1d1e5161474

2001003222132 has 36 divisors (see below), whose sum is σ = 5232508428420. Its totient is φ = 644001036672.

The previous prime is 2001003222131. The next prime is 2001003222137. The reversal of 2001003222132 is 2312223001002.

2001003222132 is a `hidden beast` number, since 200 + 10 + 0 + 322 + 2 + 132 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1350973834596 + 650029387536 = 1162314^2 + 806244^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×20010032221322 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001003222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958333833 + ... + 958335920.

It is an arithmetic number, because the mean of its divisors is an integer number (145347456345).

Almost surely, 22001003222132 is an apocalyptic number.

It is an amenable number.

2001003222132 is an abundant number, since it is smaller than the sum of its proper divisors (3231505206288).

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

2001003222132 is a wasteful number, since it uses less digits than its factorization.

2001003222132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916669792 (or 1916669787 counting only the distinct ones).

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

Adding to 2001003222132 its reverse (2312223001002), we get a palindrome (4313226223134).

The spelling of 2001003222132 in words is "two trillion, one billion, three million, two hundred twenty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 174 261 348 522 1044 1916669753 3833339506 5750009259 7666679012 11500018518 17250027777 23000037036 34500055554 55583422837 69000111108 111166845674 166750268511 222333691348 333500537022 500250805533 667001074044 1000501611066 2001003222132