Search a number
-
+
20011100040 = 2332555586389
BaseRepresentation
bin10010101000110000…
…010010011110001000
31220122121102012122100
4102220300102132020
5311440320200130
613105403153400
71305615354351
oct225060223610
956577365570
1020011100040
118539820708
123a65815860
131b6ba930c9
14d7b974d28
157c1c0ec60
hex4a8c12788

20011100040 has 48 divisors (see below), whose sum is σ = 65036076300. Its totient is φ = 5336293248.

The previous prime is 20011100023. The next prime is 20011100041. The reversal of 20011100040 is 4000111002.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 19428456996 + 582643044 = 139386^2 + 24138^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20011099995 and 20011100031.

It is not an unprimeable number, because it can be changed into a prime (20011100041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27792835 + ... + 27793554.

Almost surely, 220011100040 is an apocalyptic number.

20011100040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011100040 is an abundant number, since it is smaller than the sum of its proper divisors (45024976260).

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

20011100040 is a wasteful number, since it uses less digits than its factorization.

20011100040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55586406 (or 55586399 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20011100040 its reverse (4000111002), we get a palindrome (24011211042).

The spelling of 20011100040 in words is "twenty billion, eleven million, one hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 55586389 111172778 166759167 222345556 277931945 333518334 444691112 500277501 555863890 667036668 833795835 1000555002 1111727780 1334073336 1667591670 2001110004 2223455560 2501387505 3335183340 4002220008 5002775010 6670366680 10005550020 20011100040