Search a number
-
+
1001061061060 = 22573685658261
BaseRepresentation
bin11101001000100111110…
…00111001000111000100
310112200220122222220121211
432210103320321013010
5112400133112423220
62043514152421204
7132216140423344
oct16442370710704
93480818886554
101001061061060
11356602964865
121420193a7804
1373527064918
143664732ad24
151b08e9a9b5a
hexe913e391c4

1001061061060 has 24 divisors (see below), whose sum is σ = 2131025878296. Its totient is φ = 394939157760.

The previous prime is 1001061061003. The next prime is 1001061061159. The reversal of 1001061061060 is 601601601001.

It can be written as a sum of positive squares in 4 ways, for example, as 180181572484 + 820879488576 = 424478^2 + 906024^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342827671 + ... + 342830590.

It is an arithmetic number, because the mean of its divisors is an integer number (88792744929).

Almost surely, 21001061061060 is an apocalyptic number.

1001061061060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001061061060 is an abundant number, since it is smaller than the sum of its proper divisors (1129964817236).

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

1001061061060 is a wasteful number, since it uses less digits than its factorization.

1001061061060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685658343 (or 685658341 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 1001061061060 its reverse (601601601001), we get a palindrome (1602662662061).

The spelling of 1001061061060 in words is "one trillion, one billion, sixty-one million, sixty-one thousand, sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460 685658261 1371316522 2742633044 3428291305 6856582610 13713165220 50053053053 100106106106 200212212212 250265265265 500530530530 1001061061060