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1024133133042 = 2323710709143593
BaseRepresentation
bin11101110011100110001…
…01110111001011110010
310121220110121011121101100
432321303011313023302
5113234411040224132
62102251423145230
7133663654666335
oct16716305671362
93556417147340
101024133133042
113653724aaa48
12146598145216
1375763039716
14377d561a61c
151b9902a437c
hexee731772f2

1024133133042 has 48 divisors (see below), whose sum is σ = 2279155558680. Its totient is φ = 332117957376.

The previous prime is 1024133133031. The next prime is 1024133133071. The reversal of 1024133133042 is 2403313314201.

It is a happy number.

1024133133042 is a `hidden beast` number, since 1 + 0 + 2 + 41 + 3 + 313 + 304 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 982079018001 + 42054115041 = 990999^2 + 205071^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1024133132997 and 1024133133015.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7060398 + ... + 7203990.

Almost surely, 21024133133042 is an apocalyptic number.

1024133133042 is an abundant number, since it is smaller than the sum of its proper divisors (1255022425638).

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

1024133133042 is a wasteful number, since it uses less digits than its factorization.

1024133133042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154347 (or 154344 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1024133133042 its reverse (2403313314201), we get a palindrome (3427446447243).

The spelling of 1024133133042 in words is "one trillion, twenty-four billion, one hundred thirty-three million, one hundred thirty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 10709 21418 32127 64254 96381 143593 192762 287186 396233 430779 792466 861558 1188699 1292337 2377398 2584674 3566097 5312941 7132194 10625882 15938823 31877646 47816469 95632938 1537737437 3075474874 4613212311 9226424622 13839636933 27679273866 56896285169 113792570338 170688855507 341377711014 512066566521 1024133133042