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1001060055006 = 231128356479491
BaseRepresentation
bin11101001000100111101…
…01000011011111011110
310112200220121002210120120
432210103311003133132
5112400132333230011
62043514115055410
7132216126033264
oct16442365033736
93480817083516
101001060055006
11356602337a10
12142018ba1566
1373526aa1a1b
1436647148434
151b08e85ba06
hexe913d437de

1001060055006 has 64 divisors (see below), whose sum is σ = 2192467931136. Its totient is φ = 302194245600.

The previous prime is 1001060054999. The next prime is 1001060055053. The reversal of 1001060055006 is 6005500601001.

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, 105469921 + ... + 105479411.

It is an arithmetic number, because the mean of its divisors is an integer number (34257311424).

Almost surely, 21001060055006 is an apocalyptic number.

1001060055006 is an abundant number, since it is smaller than the sum of its proper divisors (1191407876130).

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

1001060055006 is a wasteful number, since it uses less digits than its factorization.

1001060055006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15437.

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1001060055006 its reverse (6005500601001), we get a palindrome (7006560656007).

The spelling of 1001060055006 in words is "one trillion, one billion, sixty million, fifty-five thousand, six".

Divisors: 1 2 3 6 11 22 33 66 283 566 849 1698 3113 5647 6226 9339 9491 11294 16941 18678 18982 28473 33882 56946 62117 104401 124234 186351 208802 313203 372702 626406 1598101 2685953 3196202 4794303 5371906 8057859 9588606 16115718 17579111 29545483 35158222 52737333 53595677 59090966 88636449 105474666 107191354 160787031 177272898 321574062 589552447 1179104894 1768657341 3537314682 15167576591 30335153182 45502729773 91005459546 166843342501 333686685002 500530027503 1001060055006