Search a number
-
+
13344120100 = 2252133441201
BaseRepresentation
bin11000110110101111…
…10001110100100100
31021102222022112111101
430123113301310210
5204312043320400
610044042445444
7651452102143
oct143327616444
937388275441
1013344120100
115728453a33
122704b03884
13134877976c
1490834575a
1553177856a
hex31b5f1d24

13344120100 has 18 divisors (see below), whose sum is σ = 28956740834. Its totient is φ = 5337648000.

The previous prime is 13344120091. The next prime is 13344120107. The reversal of 13344120100 is 102144331.

It can be written as a sum of positive squares in 3 ways, for example, as 517198564 + 12826921536 = 22742^2 + 113256^2 .

It is not an unprimeable number, because it can be changed into a prime (13344120107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66720501 + ... + 66720700.

Almost surely, 213344120100 is an apocalyptic number.

13344120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13344120100 is an abundant number, since it is smaller than the sum of its proper divisors (15612620734).

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

13344120100 is a wasteful number, since it uses less digits than its factorization.

13344120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133441215 (or 133441208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13344120100 its reverse (102144331), we get a palindrome (13446264431).

The spelling of 13344120100 in words is "thirteen billion, three hundred forty-four million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 133441201 266882402 533764804 667206005 1334412010 2668824020 3336030025 6672060050 13344120100