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1005252234322 = 27372244121487
BaseRepresentation
bin11101010000011011011…
…00111100110001010010
310120002201202102120111011
432220031230330301102
5112432224032444242
62045450112041134
7132425042002360
oct16501554746122
93502652376434
101005252234322
11358363752316
121429a8b331aa
1373a4446cabb
1436923c06630
151b2378e3d17
hexea0db3cc52

1005252234322 has 48 divisors (see below), whose sum is σ = 1771931766528. Its totient is φ = 418987313280.

The previous prime is 1005252234313. The next prime is 1005252234323. The reversal of 1005252234322 is 2234322525001.

1005252234322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1005252234323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46773463 + ... + 46794949.

It is an arithmetic number, because the mean of its divisors is an integer number (36915245136).

Almost surely, 21005252234322 is an apocalyptic number.

1005252234322 is a deficient number, since it is larger than the sum of its proper divisors (766679532206).

1005252234322 is a wasteful number, since it uses less digits than its factorization.

1005252234322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24011 (or 23974 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 1005252234322 its reverse (2234322525001), we get a palindrome (3239574759323).

The spelling of 1005252234322 in words is "one trillion, five billion, two hundred fifty-two million, two hundred thirty-four thousand, three hundred twenty-two".

Divisors: 1 2 7 14 37 74 259 518 1369 2441 2738 4882 9583 17087 19166 21487 34174 42974 90317 150409 180634 300818 632219 795019 1264438 1590038 3341729 5565133 6683458 11130266 23392103 29415703 46784206 52449767 58831406 104899534 205909921 367148369 411819842 734296738 1940641379 3881282758 13584489653 27168979306 71803731023 143607462046 502626117161 1005252234322