Search a number
-
+
20132140100 = 2252533798517
BaseRepresentation
bin10010101111111110…
…000001010001000100
31220222001011200101112
4102233332001101010
5312212311440400
613125405344152
71311615240002
oct225776012104
956861150345
1020132140100
1185a1082916
123a9a268058
131b8ab92547
14d8da81a72
157cc66d835
hex4aff81444

20132140100 has 36 divisors (see below), whose sum is σ = 44511033924. Its totient is φ = 7900913280.

The previous prime is 20132140057. The next prime is 20132140109. The reversal of 20132140100 is 104123102.

It can be written as a sum of positive squares in 6 ways, for example, as 53816896 + 20078323204 = 7336^2 + 141698^2 .

It is not an unprimeable number, because it can be changed into a prime (20132140109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1893959 + ... + 1904558.

It is an arithmetic number, because the mean of its divisors is an integer number (1236417609).

Almost surely, 220132140100 is an apocalyptic number.

20132140100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20132140100 is an abundant number, since it is smaller than the sum of its proper divisors (24378893824).

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

20132140100 is a wasteful number, since it uses less digits than its factorization.

20132140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3798584 (or 3798577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20132140100 its reverse (104123102), we get a palindrome (20236263202).

The spelling of 20132140100 in words is "twenty billion, one hundred thirty-two million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 53 100 106 212 265 530 1060 1325 2650 5300 3798517 7597034 15194068 18992585 37985170 75970340 94962925 189925850 201321401 379851700 402642802 805285604 1006607005 2013214010 4026428020 5033035025 10066070050 20132140100