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1002132055242 = 23417363882373
BaseRepresentation
bin11101001010100111011…
…10011010010011001010
310112210200022021001110000
432211103232122103022
5112404331301231432
62044212331503430
7132254523631353
oct16452356322312
93483608231400
101002132055242
1135700246861a
12142277bb7b76
1373667bcaca6
1436709678d2a
151b103a1157c
hexe953b9a4ca

1002132055242 has 40 divisors (see below), whose sum is σ = 2377607431716. Its totient is φ = 314394369408.

The previous prime is 1002132055153. The next prime is 1002132055313. The reversal of 1002132055242 is 2425502312001.

1002132055242 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 132 + 0 + 5 + 524 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 821363376681 + 180768678561 = 906291^2 + 425169^2 .

It is a super-2 number, since 2×10021320552422 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 181938433 + ... + 181943940.

Almost surely, 21002132055242 is an apocalyptic number.

1002132055242 is an abundant number, since it is smaller than the sum of its proper divisors (1375475376474).

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

1002132055242 is a wasteful number, since it uses less digits than its factorization.

1002132055242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363882404 (or 363882395 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 1002132055242 its reverse (2425502312001), we get a palindrome (3427634367243).

The spelling of 1002132055242 in words is "one trillion, two billion, one hundred thirty-two million, fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 153 162 306 459 918 1377 2754 363882373 727764746 1091647119 2183294238 3274941357 6186000341 6549882714 9824824071 12372000682 18558001023 19649648142 29474472213 37116002046 55674003069 58948944426 111348006138 167022009207 334044018414 501066027621 1002132055242