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1012223002302 = 233196471524841
BaseRepresentation
bin11101011101011010011…
…00010100011010111110
310120202201120011021111000
432232231030110122332
5113041013042033202
62053001523511130
7133062554362161
oct16565514243276
93522646137430
101012223002302
11360310550496
121442135284a6
13745b56ac495
1436dc5913ad8
151b4e488691c
hexebad3146be

1012223002302 has 64 divisors (see below), whose sum is σ = 2371434278400. Its totient is φ = 319155111360.

The previous prime is 1012223002291. The next prime is 1012223002447. The reversal of 1012223002302 is 2032003222101.

1012223002302 is a `hidden beast` number, since 10 + 122 + 2 + 300 + 230 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 98599 + ... + 1426242.

It is an arithmetic number, because the mean of its divisors is an integer number (37053660600).

Almost surely, 21012223002302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012223002302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185717139200).

1012223002302 is an abundant number, since it is smaller than the sum of its proper divisors (1359211276098).

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

1012223002302 is a wasteful number, since it uses less digits than its factorization.

1012223002302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525518 (or 1525512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1012223002302 its reverse (2032003222101), we get a palindrome (3044226224403).

The spelling of 1012223002302 in words is "one trillion, twelve billion, two hundred twenty-three million, two thousand, three hundred two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 513 647 1026 1294 1941 3882 5823 11646 12293 17469 24586 34938 36879 73758 110637 221274 331911 663822 1524841 3049682 4574523 9149046 13723569 27447138 28971979 41170707 57943958 82341414 86915937 173831874 260747811 521495622 782243433 986572127 1564486866 1973144254 2959716381 5919432762 8879149143 17758298286 18744870413 26637447429 37489740826 53274894858 56234611239 112469222478 168703833717 337407667434 506111501151 1012223002302