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1000332331333 = 73439118726297
BaseRepresentation
bin11101000111010000111…
…01000000100101000101
310112122000212202121100221
432203220131000211011
5112342140034100313
62043314001304341
7132162111344026
oct16435035004505
93478025677327
101000332331333
11356269582395
12141a553350b1
137343c0a67ba
14365b8634c4d
151b04aa0ec8d
hexe8e8740945

1000332331333 has 16 divisors (see below), whose sum is σ = 1017240301440. Its totient is φ = 983514998016.

The previous prime is 1000332331331. The next prime is 1000332331363. The reversal of 1000332331333 is 3331332330001.

It is not a de Polignac number, because 1000332331333 - 21 = 1000332331331 is a prime.

It is a super-2 number, since 2×10003323313332 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1000332331298 and 1000332331307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000332331331) 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 15 ways as a sum of consecutive naturals, for example, 38026641 + ... + 38052937.

It is an arithmetic number, because the mean of its divisors is an integer number (63577518840).

Almost surely, 21000332331333 is an apocalyptic number.

It is an amenable number.

1000332331333 is a deficient number, since it is larger than the sum of its proper divisors (16907970107).

1000332331333 is a wasteful number, since it uses less digits than its factorization.

1000332331333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27996.

The product of its (nonzero) digits is 4374, while the sum is 25.

Adding to 1000332331333 its reverse (3331332330001), we get a palindrome (4331664661334).

The spelling of 1000332331333 in words is "one trillion, three hundred thirty-two million, three hundred thirty-one thousand, three hundred thirty-three".

Divisors: 1 73 439 1187 26297 32047 86651 521093 1919681 11544383 31214539 38039789 842739959 2278661347 13703182621 1000332331333