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1013323103312 = 241332571495777
BaseRepresentation
bin11101011111011101100…
…00110111110001010000
310120212120020012012100212
432233232300313301100
5113100241203301222
62053303022503252
7133132043155562
oct16575660676120
93525506165325
101013323103312
11360825524683
1214447ba34b28
137472c597120
143708ba7b332
151b55b23c6e2
hexebeec37c50

1013323103312 has 40 divisors (see below), whose sum is σ = 2114988210216. Its totient is φ = 467543678976.

The previous prime is 1013323103297. The next prime is 1013323103321. The reversal of 1013323103312 is 2133013233101.

It can be written as a sum of positive squares in 4 ways, for example, as 3450857536 + 1009872245776 = 58744^2 + 1004924^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70433 + ... + 1425344.

Almost surely, 21013323103312 is an apocalyptic number.

It is an amenable number.

1013323103312 is an abundant number, since it is smaller than the sum of its proper divisors (1101665106904).

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

1013323103312 is a wasteful number, since it uses less digits than its factorization.

1013323103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499055 (or 1499049 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 1013323103312 its reverse (2133013233101), we get a palindrome (3146336336413).

The spelling of 1013323103312 in words is "one trillion, thirteen billion, three hundred twenty-three million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 208 3257 6514 13028 26056 42341 52112 84682 169364 338728 677456 1495777 2991554 5983108 11966216 19445101 23932432 38890202 77780404 155560808 311121616 4871745689 9743491378 19486982756 38973965512 63332693957 77947931024 126665387914 253330775828 506661551656 1013323103312