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1001132303331 = 31347312476867
BaseRepresentation
bin11101001000110000010…
…00101010001111100011
310112201002122001101122110
432210120020222033203
5112400304332201311
62043525215410403
7132220664112636
oct16443010521743
93481078041573
101001132303331
1135663a0a4176
12142039223a03
1373538a49a04
1436652993c1d
151b095d7d8a6
hexe91822a3e3

1001132303331 has 8 divisors (see below), whose sum is σ = 1334853517504. Its totient is φ = 667416312360.

The previous prime is 1001132303317. The next prime is 1001132303363. The reversal of 1001132303331 is 1333032311001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1001132303331 - 223 = 1001123914723 is a prime.

It is a super-3 number, since 3×10011323033313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001132303298 and 1001132303307.

It is not an unprimeable number, because it can be changed into a prime (1001132303531) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834241 + ... + 1642626.

It is an arithmetic number, because the mean of its divisors is an integer number (166856689688).

Almost surely, 21001132303331 is an apocalyptic number.

1001132303331 is a deficient number, since it is larger than the sum of its proper divisors (333721214173).

1001132303331 is a wasteful number, since it uses less digits than its factorization.

1001132303331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611601.

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1001132303331 its reverse (1333032311001), we get a palindrome (2334164614332).

The spelling of 1001132303331 in words is "one trillion, one billion, one hundred thirty-two million, three hundred three thousand, three hundred thirty-one".

Divisors: 1 3 134731 404193 2476867 7430601 333710767777 1001132303331