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1020132033444 = 223237663752383
BaseRepresentation
bin11101101100001001001…
…10111000001110100100
310121112010202101200120100
432312010212320032210
5113203212300032234
62100350413504100
7133462552133046
oct16660446701644
93545122350510
101020132033444
113636a9a35667
121458601a2030
1375276121674
143753609ba96
151b808db3399
hexed849b83a4

1020132033444 has 36 divisors (see below), whose sum is σ = 2578738978816. Its totient is φ = 340034530608.

The previous prime is 1020132033421. The next prime is 1020132033511. The reversal of 1020132033444 is 4443302310201.

1020132033444 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 1 + 320 + 334 + 4 + 4 = 666.

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

It is a super-2 number, since 2×10201320334442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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, 979677 + ... + 1732059.

Almost surely, 21020132033444 is an apocalyptic number.

It is an amenable number.

1020132033444 is an abundant number, since it is smaller than the sum of its proper divisors (1558606945372).

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

1020132033444 is a wasteful number, since it uses less digits than its factorization.

1020132033444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790056 (or 790051 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1020132033444 its reverse (4443302310201), we get a palindrome (5463434343645).

The spelling of 1020132033444 in words is "one trillion, twenty billion, one hundred thirty-two million, thirty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37663 75326 112989 150652 225978 338967 451956 677934 752383 1355868 1504766 2257149 3009532 4514298 6771447 9028596 13542894 27085788 28337000929 56674001858 85011002787 113348003716 170022005574 255033008361 340044011148 510066016722 1020132033444