Search a number
-
+
13141220010 = 2355415691423
BaseRepresentation
bin11000011110100011…
…10001101010101010
31020220211112010220020
430033101301222222
5203403123020020
610011553541310
7643436345532
oct141721615252
936824463806
1013141220010
115633970106
122668b74836
131315718439
148c940a4c2
1551da49c40
hex30f471aaa

13141220010 has 64 divisors (see below), whose sum is σ = 31675000320. Its totient is φ = 3489246720.

The previous prime is 13141219967. The next prime is 13141220017. The reversal of 13141220010 is 1002214131.

13141220010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (13141220017) 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 31 ways as a sum of consecutive naturals, for example, 9234159 + ... + 9235581.

It is an arithmetic number, because the mean of its divisors is an integer number (494921880).

Almost surely, 213141220010 is an apocalyptic number.

13141220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13141220010 is an abundant number, since it is smaller than the sum of its proper divisors (18533780310).

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

13141220010 is a wasteful number, since it uses less digits than its factorization.

13141220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2543.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 13141220010 its reverse (1002214131), we get a palindrome (14143434141).

The spelling of 13141220010 in words is "thirteen billion, one hundred forty-one million, two hundred twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 541 569 1082 1138 1423 1623 1707 2705 2845 2846 3246 3414 4269 5410 5690 7115 8115 8535 8538 14230 16230 17070 21345 42690 307829 615658 769843 809687 923487 1539145 1539686 1619374 1846974 2309529 2429061 3078290 3849215 4048435 4617435 4619058 4858122 7698430 8096870 9234870 11547645 12145305 23095290 24290610 438040667 876081334 1314122001 2190203335 2628244002 4380406670 6570610005 13141220010