Search a number
-
+
101055561056 = 25171031803533
BaseRepresentation
bin101111000011101100…
…0010111110101100000
3100122211201212101210122
41132013120113311200
53123430210423211
6114231351215412
710205152044662
oct1360730276540
9318751771718
10101055561056
113994825880a
1217703377568
1396b6401298
144c69312532
152966c436db
hex1787617d60

101055561056 has 48 divisors (see below), whose sum is σ = 212701585824. Its totient is φ = 47093827584.

The previous prime is 101055561007. The next prime is 101055561059. The reversal of 101055561056 is 650165550101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101055561059) by changing a digit.

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, 845735 + ... + 957798.

It is an arithmetic number, because the mean of its divisors is an integer number (4431283038).

Almost surely, 2101055561056 is an apocalyptic number.

101055561056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101055561056 is an abundant number, since it is smaller than the sum of its proper divisors (111646024768).

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

101055561056 is a wasteful number, since it uses less digits than its factorization.

101055561056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803663 (or 1803655 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 101055561056 in words is "one hundred one billion, fifty-five million, five hundred sixty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 17 32 34 68 103 136 206 272 412 544 824 1648 1751 3296 3502 7004 14008 28016 56032 1803533 3607066 7214132 14428264 28856528 30660061 57713056 61320122 122640244 185763899 245280488 371527798 490560976 743055596 981121952 1486111192 2972222384 3157986283 5944444768 6315972566 12631945132 25263890264 50527780528 101055561056