Search a number
-
+
13122141220 = 2251738594533
BaseRepresentation
bin11000011100010001…
…11111110000100100
31020212111121211201101
430032020333300210
5203333232004340
610010033005444
7643115234326
oct141610776044
936774554641
1013122141220
115624119a11
1226626b3884
131311798406
148c6a81616
1551c02bc9a
hex30e23fc24

13122141220 has 24 divisors (see below), whose sum is σ = 29177467704. Its totient is φ = 4940100096.

The previous prime is 13122141211. The next prime is 13122141229. The reversal of 13122141220 is 2214122131.

It is an interprime number because it is at equal distance from previous prime (13122141211) and next prime (13122141229).

It can be written as a sum of positive squares in 4 ways, for example, as 1452524544 + 11669616676 = 38112^2 + 108026^2 .

It is not an unprimeable number, because it can be changed into a prime (13122141229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19296927 + ... + 19297606.

It is an arithmetic number, because the mean of its divisors is an integer number (1215727821).

Almost surely, 213122141220 is an apocalyptic number.

13122141220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13122141220 is an abundant number, since it is smaller than the sum of its proper divisors (16055326484).

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

13122141220 is a wasteful number, since it uses less digits than its factorization.

13122141220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38594559 (or 38594557 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 13122141220 its reverse (2214122131), we get a palindrome (15336263351).

The spelling of 13122141220 in words is "thirteen billion, one hundred twenty-two million, one hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 38594533 77189066 154378132 192972665 385945330 656107061 771890660 1312214122 2624428244 3280535305 6561070610 13122141220