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1340001328083 = 311312769747293
BaseRepresentation
bin10011011111111110010…
…011011001101111010011
311202002202222220110111220
4103133332103121233103
5133423310314444313
62503331010540123
7165545324233215
oct23377623315723
94662688813456
101340001328083
114773228a8020
1219784b897643
1399491523342
1448bdbdc05b5
1524ccaac0823
hex137fe4d9bd3

1340001328083 has 32 divisors (see below), whose sum is σ = 2012081989632. Its totient is φ = 785879539200.

The previous prime is 1340001328049. The next prime is 1340001328087. The reversal of 1340001328083 is 3808231000431.

It is not a de Polignac number, because 1340001328083 - 214 = 1340001311699 is a prime.

It is a super-3 number, since 3×13400013280833 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1340001328087) 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, 28310385 + ... + 28357677.

It is an arithmetic number, because the mean of its divisors is an integer number (62877562176).

Almost surely, 21340001328083 is an apocalyptic number.

1340001328083 is a deficient number, since it is larger than the sum of its proper divisors (672080661549).

1340001328083 is a wasteful number, since it uses less digits than its factorization.

1340001328083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75035.

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1340001328083 in words is "one trillion, three hundred forty billion, one million, three hundred twenty-eight thousand, eighty-three".

Divisors: 1 3 11 31 33 93 341 1023 27697 47293 83091 141879 304667 520223 858607 914001 1466083 1560669 2575821 4398249 9444677 16126913 28334031 48380739 1309874221 3929622663 14408616431 40606100851 43225849293 121818302553 446667109361 1340001328083