Search a number
-
+
13142010000 = 24354762581
BaseRepresentation
bin11000011110101001…
…10010100010010000
31020220220000021120010
430033110302202100
5203403323310000
610012022514520
7643446145650
oct141724624220
936826007503
1013142010000
11563435a699
122669295a40
131315933ba2
148c9574360
1551db53d50
hex30f532890

13142010000 has 200 divisors, whose sum is σ = 48485529664. Its totient is φ = 3003840000.

The previous prime is 13142009963. The next prime is 13142010019. The reversal of 13142010000 is 1024131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 178710 + ... + 241290.

Almost surely, 213142010000 is an apocalyptic number.

13142010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24242764832).

13142010000 is an abundant number, since it is smaller than the sum of its proper divisors (35343519664).

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

13142010000 is an equidigital number, since it uses as much as digits as its factorization.

13142010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62619 (or 62598 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13142010000 its reverse (1024131), we get a palindrome (13143034131).

The spelling of 13142010000 in words is "thirteen billion, one hundred forty-two million, ten thousand".