Search a number
-
+
1001101110020 = 225114903928097
BaseRepresentation
bin11101001000101100100…
…01101010101100000100
310112201000110100121110122
432210112101222230010
5112400223341010040
62043522143041112
7132220135014224
oct16442621525404
93481013317418
101001101110020
11356623529180
1214202a8a0198
137353244782b
143664c794084
151b09326b1b5
hexe91646ab04

1001101110020 has 48 divisors (see below), whose sum is σ = 2293901866368. Its totient is φ = 363962127360.

The previous prime is 1001101109969. The next prime is 1001101110029. The reversal of 1001101110020 is 200111011001.

It is a happy number.

It is a super-2 number, since 2×10011011100202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001101110029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 614612 + ... + 1542708.

It is an arithmetic number, because the mean of its divisors is an integer number (47789622216).

Almost surely, 21001101110020 is an apocalyptic number.

1001101110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001101110020 is an abundant number, since it is smaller than the sum of its proper divisors (1292800756348).

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

1001101110020 is a wasteful number, since it uses less digits than its factorization.

1001101110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933020 (or 933018 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001101110020 its reverse (200111011001), we get a palindrome (1201212121021).

The spelling of 1001101110020 in words is "one trillion, one billion, one hundred one million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4903 9806 19612 24515 49030 53933 98060 107866 215732 269665 539330 928097 1078660 1856194 3712388 4640485 9280970 10209067 18561940 20418134 40836268 51045335 102090670 204181340 4550459591 9100919182 18201838364 22752297955 45504595910 50055055501 91009191820 100110111002 200220222004 250275277505 500550555010 1001101110020