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1005254311006 = 211791634018849
BaseRepresentation
bin11101010000011011101…
…00110111110001011110
310120002201220100002011101
432220031310313301132
5112432230100423011
62045450224343314
7132425065442011
oct16501564676136
93502656302141
101005254311006
11358364940590
121429a9774b3a
1373a44a190ca
14369241c7378
151b237ba42c1
hexea0dd37c5e

1005254311006 has 64 divisors (see below), whose sum is σ = 1680372864000. Its totient is φ = 447213312000.

The previous prime is 1005254310997. The next prime is 1005254311031. The reversal of 1005254311006 is 6001134525001.

It is a super-2 number, since 2×10052543110062 (a number of 25 digits) contains 22 as substring.

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, 113596470 + ... + 113605318.

It is an arithmetic number, because the mean of its divisors is an integer number (26255826000).

Almost surely, 21005254311006 is an apocalyptic number.

1005254311006 is a deficient number, since it is larger than the sum of its proper divisors (675118552994).

1005254311006 is a wasteful number, since it uses less digits than its factorization.

1005254311006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9505.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 1005254311006 its reverse (6001134525001), we get a palindrome (7006388836007).

The spelling of 1005254311006 in words is "one trillion, five billion, two hundred fifty-four million, three hundred eleven thousand, six".

Divisors: 1 2 11 22 79 158 163 326 401 802 869 1738 1793 3586 4411 8822 8849 12877 17698 25754 31679 63358 65363 97339 130726 141647 194678 283294 348469 696938 699071 718993 1398142 1437986 1442387 2884774 3548449 5163677 7096898 7689781 10327354 15379562 15866257 31732514 39032939 56800447 78065878 113600894 113948573 227897146 280327471 560654942 578397187 1156794374 1253434303 2506868606 3083602181 6167204362 6362369057 12724738114 45693377773 91386755546 502627155503 1005254311006