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1005222342042 = 232103542191123
BaseRepresentation
bin11101010000010111110…
…10111010110110011010
310120002122200011212222200
432220023322322312122
5112432143404421132
62045443123231030
7132424226633022
oct16501372726632
93502580155880
101005222342042
11358348895856
1214299ab18476
1373a3b204b69
143691dc64a82
151b234e8bd7c
hexea0bebad9a

1005222342042 has 24 divisors (see below), whose sum is σ = 2199127198944. Its totient is φ = 331820966664.

The previous prime is 1005222342041. The next prime is 1005222342071. The reversal of 1005222342042 is 2402432225001.

1005222342042 is a `hidden beast` number, since 10 + 0 + 5 + 2 + 223 + 420 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1005222341997 and 1005222342015.

It is not an unprimeable number, because it can be changed into a prime (1005222342041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271093708 + ... + 271097415.

It is an arithmetic number, because the mean of its divisors is an integer number (91630299956).

Almost surely, 21005222342042 is an apocalyptic number.

1005222342042 is an abundant number, since it is smaller than the sum of its proper divisors (1193904856902).

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

1005222342042 is a wasteful number, since it uses less digits than its factorization.

1005222342042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542191234 (or 542191231 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 1005222342042 its reverse (2402432225001), we get a palindrome (3407654567043).

The spelling of 1005222342042 in words is "one trillion, five billion, two hundred twenty-two million, three hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 542191123 1084382246 1626573369 3253146738 4879720107 9759440214 55845685669 111691371338 167537057007 335074114014 502611171021 1005222342042