Search a number
-
+
11001022210120 = 2351571751755129
BaseRepresentation
bin1010000000010110000000…
…0001010110000001001000
31102221200120011010022222111
42200011200001112001020
52420220043141210440
635221444433032104
72213540404626625
oct240054001260110
942850504108874
1011001022210120
113561564272568
1212980a40b5634
1361a513139607
142a064922534c
151412662c64ea
hexa0160056048

11001022210120 has 32 divisors (see below), whose sum is σ = 24909957948600. Its totient is φ = 4372380799488.

The previous prime is 11001022210111. The next prime is 11001022210127. The reversal of 11001022210120 is 2101222010011.

It can be written as a sum of positive squares in 4 ways, for example, as 6408684645444 + 4592337564676 = 2531538^2 + 2142974^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11001022210120.

It is not an unprimeable number, because it can be changed into a prime (11001022210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 875871285 + ... + 875883844.

Almost surely, 211001022210120 is an apocalyptic number.

11001022210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001022210120 is an abundant number, since it is smaller than the sum of its proper divisors (13908935738480).

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

11001022210120 is a wasteful number, since it uses less digits than its factorization.

11001022210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751755297 (or 1751755293 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 11001022210120 its reverse (2101222010011), we get a palindrome (13102244220131).

The spelling of 11001022210120 in words is "eleven trillion, one billion, twenty-two million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 157 314 628 785 1256 1570 3140 6280 1751755129 3503510258 7007020516 8758775645 14014041032 17517551290 35035102580 70070205160 275025555253 550051110506 1100102221012 1375127776265 2200204442024 2750255552530 5500511105060 11001022210120