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1006001110092 = 2231122933280439
BaseRepresentation
bin11101010001110100101…
…01101011110001001100
310120011122221120101220210
432220322111223301030
5112440242241010332
62050052303042420
7132452434226556
oct16507225536114
93504587511823
101006001110092
11358708444810
12142b778a0410
1373b33662964
14369954644d6
151b27d51cecc
hexea3a56bc4c

1006001110092 has 48 divisors (see below), whose sum is σ = 2571912403200. Its totient is φ = 303517594560.

The previous prime is 1006001110069. The next prime is 1006001110099. The reversal of 1006001110092 is 2900111006001.

It is not an unprimeable number, because it can be changed into a prime (1006001110099) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16609992 + ... + 16670447.

It is an arithmetic number, because the mean of its divisors is an integer number (53581508400).

Almost surely, 21006001110092 is an apocalyptic number.

1006001110092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1006001110092 is an abundant number, since it is smaller than the sum of its proper divisors (1565911293108).

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

1006001110092 is a wasteful number, since it uses less digits than its factorization.

1006001110092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33280686 (or 33280684 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 21.

Adding to 1006001110092 its reverse (2900111006001), we get a palindrome (3906112116093).

The spelling of 1006001110092 in words is "one trillion, six billion, one million, one hundred ten thousand, ninety-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 229 458 687 916 1374 2519 2748 5038 7557 10076 15114 30228 33280439 66560878 99841317 133121756 199682634 366084829 399365268 732169658 1098254487 1464339316 2196508974 4393017948 7621220531 15242441062 22863661593 30484882124 45727323186 83833425841 91454646372 167666851682 251500277523 335333703364 503000555046 1006001110092